Encyclopedia - University Of New Mexico
TheEncyclopediaofNeutrosophic ResearchersFlo r e nt in Smar and ac he(founder and editor)1st Volume2016Pons EditionsNeutrosophic Science International Association
Florentin Smarandache (founder and editor)The Encyclopedia of Neutrosophic Researchers1st Volume
Pons asbl5, Quai du Batelage, Brussells, Belgium, European UnionEditor: Georgiana AntonescuPresident of Pons asbl
Florentin Smarandache(founder and editor)The Encyclopedia ofNeutrosophic Researchers1st VolumePons EditionsBrussels, Belgium, EUNeutrosophic Science International AssociationGallup, NM, USA2016
ContentsForewordHistory of Neutrosophic Theory and its Applications1113Nassim AbbasA. A. A. AgboolaMumtaz AliAbdul Quaiyum AnsariAhmed Metwalli AnterSwati AggarwalMeena AroraDurga BanerjeeSameh H. BashaTanushree Mitra BasuRomualdas BausysPranab BiswasSaid BroumiEmilia CalefariuGavrilă CalefariuAmarjit ChandaRajashi ChatterjeeShyamal DalapatiLuu Quoc DatMithun DattaPartha Pratim DeyIrfan DeliAshit Kumar DuttaAzeddine ElhassounyMohamed Abd ElfattahShaimaa M. ElnazerAhmed Kuder Essa Al-JubouriSelim EraslanMohammadreza FarajiDaniela 869707172747577Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume7
Yanhui GuoSavita GuptaNasruddin HassanIbrahim Mohammed Hezam Al-MishanahAlice IonescuJ. Martina JencyHuda Esmail Khalid Esmail Al-JumailyFaruk KaraaslanSerkan KaratasMadad KhanQaisar KhanK. KandasamyW. B. Vasantha KandasamySupriya KarDalbinder KourDeepika KoundalK. IlanthenralSachin LakraChunfang LiuFeng LiuPeide LiuFrancisco Gallego LupiáñezPinaki MajumdarMohamed Abed-ElBaset MetwallyKalyan MondalAnjan MukherjeeMadhumangal PalSantanu Kumar PatroVasile PătrașcuMihaela-Gabriela PăunSurapati PramanikNouran M. RadwanAkbar RezaeiTapan Kumar RoyAhmed A. SalamaSyamal Kumar SamantaSadhan 174182183Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume
Gheorghe SăvoiuNasir ShahPhilomina SimonFlorentin SmarandacheLe Hoang SonMirela TeodorescuLuige Vlădăreanu Sr.Ştefan VlăduţescuEdmundas Kazimieras ZavadskasHai-Long YangJun YeFlorentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume1841861871882062082112182202232269
ForewordThis is the first volume of the Encyclopedia of Neutrosophic Researchers,edited from materials offered by the authors who responded to the editor’sinvitation.The authors are listed alphabetically.The introduction contains a short history of neutrosophics, togetherwith links to the main papers and books.Neutrosophic set, neutrosophic logic, neutrosophic probability,neutrosophic statistics, neutrosophic measure, neutrosophic precalculus,neutrosophic calculus and so on are gaining significant attention insolving many real life problems that involve uncertainty, impreciseness,vagueness, incompleteness, inconsistent, and indeterminacy.In the past years the fields of neutrosophics have been extended andapplied in various fields, such as: artificial intelligence, data mining, softcomputing, decision making in incomplete / indeterminate / inconsistentinformation systems, image processing, computational modelling,robotics, medical diagnosis, biomedical engineering, investment problems,economic forecasting, social science, humanistic and practicalachievements.The authors, who have published neutrosophic papers, books, ordefended neutrosophic master theses or PhD dissertations and are notincluded in this volume, are kindly invited to send their CV, a photo, anda list of neutrosophic publications to fsmarandache@gmail.com andneutrosophy@laposte.net to be part of the second volume.Prof. Florentin Smarandache, Ph DUniversity of New ident of The Neutrosophic Science International AssociationFlorentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume11
History of Neutrosophic Theoryand its ApplicationsZadeh introduced the degree of membership/truth (t) in 1965 anddefined the fuzzy set.Atanassov introduced the degree of nonmembership/falsehood (f) in1986 and defined the intuitionistic fuzzy set.Smarandache introduced the degree of indeterminacy/neutrality (i) asindependent component in 1995 (published in 1998) and defined theneutrosophic set on three components (t, i, f) (truth, FlorentinSmarandache.htm.Etymology. The words “neutrosophy” and “neutrosophic” werecoined/invented by F. Smarandache in his 1998 book.Neutrosophy: A branch of philosophy, introduced by F.Smarandache in 1980, which studies the origin, nature, and scope ofneutralities, as well as their interactions with different ideational spectra.Neutrosophy considers a proposition, theory, event, concept, orentity, "A" in relation to its opposite, "Anti-A" and that which is not A,"Non-A", and that which is neither "A" nor "Anti-A", denoted by "Neut-A".Neutrosophy is the basis of neutrosophic logic, neutrosophicprobability, neutrosophic set, and neutrosophic statistics.{From: The Free Online Dictionary of Computing, edited by DenisHowe from England. Neutrosophy is an extension of the Dialectics.}Neutrosophic Logic is a general framework for unification of manyexisting logics, such as fuzzy logic (especially intuitionistic fuzzy logic),paraconsistent logic, intuitionistic logic, etc. The main idea of NL is tocharacterize each logical statement in a 3D-Neutrosophic Space, whereeach dimension of the space represents respectively the truth (T), thefalsehood (F), and the indeterminacy (I) of the statement underconsideration, where T, I, F are standard or non-standard real subsetsof ]-0, 1 [ with not necessarily any connection between them.For software engineering proposals the classical unit interval [0, 1]may be used.Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume13
T, I, F are independent components, leaving room for incompleteinformation (when their superior sum 1), paraconsistent andcontradictory information (when the superior sum 1), or completeinformation (sum of components 1).For software engineering proposals the classical unit interval [0, 1]is used.For single valued neutrosophic logic, the sum of the components is: 0 t i f 3 when all three components are independent;0 t i f 2 when two components are dependent, while thethird one is independent from them;0 t i f 1 when all three components are dependent.When three or two of the components T, I, F are independent, oneleaves room for incomplete information (sum 1), paraconsistent andcontradictory information (sum 1), or complete information (sum 1).If all three components T, I, F are dependent, then similarly oneleaves room for incomplete information (sum 1), or completeinformation (sum 1).In general, the sum of two components x and y that vary in theunitary interval [0, 1] is:0 x y 2 - d (x, y), where d (x, y) is the degree of dependencebetween x and y, while d (x, y) is the degree of independence between xand y.In 2013 Smarandache refined the neutrosophic set to n components:(T1, T2, .; I1, I2, .; F1, F2, .);see -PiP.pdf .The Most Important Books and Papersin the Development of Neutrosophics1995-1998 – Smarandache generalizes the dialectics to neutrosophy;introduces the neutrosophic set/logic/probability/statistics;introduces the single-valued neutrosophic set (pp. .pdf (last edition)14Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume
2002 – introduces special types of sets / probabilities / statistics /logics, such as:- intuitionistic set, paraconsistent set, faillibilist set, paradoxist set,pseudo-paradoxist set, tautological set, nihilist set, dialetheist set,trivialist set;- intuitionistic probability and statistics, paraconsistent probabilityand statistics, faillibilistprobability and statistics, paradoxist probability and statistics,pseudo-paradoxist probability and statistics, tautological probability andstatistics, nihilist probability and statistics, dialetheist probability andstatistics, trivialist probability and statistics;- paradoxist logic (or paradoxism), pseudo-paradoxist logic (orpseudo-paradoxism), tautological logic (or erivedFromNeutrosophics.pdf2003 – introduction of neutrosophic numbers (a bI, where I indeterminacy)2003 – introduction of I-neutrosophic algebraic structures2003 – introduction to neutrosophic cognitive mapshttp://fs.gallup.unm.edu/NCMs.pdf2005 - introduction of interval neutrosophic set/logichttp://fs.gallup.unm.edu/INSL.pdf2006 – introduction of degree of dependence and degree of independencebetween the neutrosophic components T, I, Fhttp://fs.gallup.unm.edu/ebook-neutrosophics6.pdf (p. AndIndependence.pdf2007 – The Neutrosophic Set was extended [Smarandache, 2007] toNeutrosophic Overset (when some neutrosophic component is 1), sincehe observed that, for example, an employee working overtime deserves adegree of membership 1, with respect to an employee that only worksregular full-time and whose degree of membership 1;and to Neutrosophic Underset (when some neutrosophic componentis 0), since, for example, an employee making more damage than benefitto his company deserves a degree of membership 0, with respect to anemployee that produces benefit to the company and has the degree ofmembership 0;Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume15
and to and to Neutrosophic Offset (when some neutrosophiccomponents are off the interval [0, 1], i.e. some neutrosophic component 1 and some neutrosophic component 0).Then, similarly, the Neutrosophic Logic / Measure / Probability /Statistics etc. were extended to respectively Neutrosophic Over-/Under/Off- Logic, Measure, Probability, Statistics xiv/papers/1607/1607.00234.pdf2007 – Smarandache introduced the Neutrosophic Tripolar Set andNeutrosophic Multipolar Set ,and consequently– the Neutrosophic Tripolar Graph and Neutrosophic rosophics6.pdf (p. 9 – introduction of N-norm and f2013developmentofneutrosophicprobability(chance that an event occurs, indeterminate chance of occurrence,chance that the event does not IntegralProbability.pdf2013 - refinement of components (T1, T2, .; I1, I2, .; F1, F2, ic.pdf2014 – introduction of the law of included multiple middle( A ; neut1A , neut2A , ; antiA le.pdf2014 - development of neutrosophic statistics (indeterminacy is introducedinto classical statistics with respect to the sample/population, or with respect tothe individuals that only partially belong to a ophicStatistics.pdf16Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume
2015 - introduction of neutrosophic precalculus and neutrosophic lculusCalculus.pdf2015 – refined neutrosophic numbers (a b1I1 b2I2 bnIn), where I1,I2, , In are subindeterminacies of indeterminacy I;2015 – (t,i,f)-neutrosophic graphs;2015- Neutrosophic Axiomatic System, neutrosophic dynamic systems,symbolic neutrosophic logic, (t, i, f)-Neutrosophic Structures, INeutrosophic Structures, Refined Literal Indeterminacy,Multiplication Law of icNeutrosophicTheory.pdf2015 – Introduction of the subindeterminacies of the formI 0n k0 , for k {0, 1, 2, , n-1}, into the ring of modulo integers Zn - called natural neutrosophicindeterminacies NeutrosophicNumbers.pdf2015 – Introduction of neutrosophic triplet structures and m-valuedrefined neutrosophic triplet structures [Smarandache - Ali]Submit papers on neutrosophic set/logic/probability/statistics to theinternational journal “Neutrosophic Sets and Systems”, to the editor-inchief: smarand@unm.edu ( see http://fs.gallup.unm.edu/NSS ).Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume17
Dr.Nassim AbbasResearcherAffiliationCommunicating and Intelligent System Engineering LaboratoryFaculty of Electronics and Computer ScienceUniversity of Sciences and Technology Houari BoumedieneBP. 32, El Alia, Bab Ezzouar, 16111, Algiers / ALGERIAProfileBorn in Algeria in 1981. Studies in Fundamental Sciences at the NationalPolytechnic School, Algiers, Algeria, between 2000 – 2002. Engineeringdegree in Electronics from the Faculty of Electronics and ComputerScience, University of Sciences and Technology Houari Boumediene(USTHB), Algiers, in 2006. MSc and PhD in Signal and Image Processingfrom USTHB, in 2009 and 2015, respectively. Research Associate in theSystems Architecture and Multimedia Division, Center of Development ofAdvanced Technologies (CDTA), Algiers, between 2011 – 2012. Joined theDepartment of Telecommunication of the Faculty of Electronics andComputer Science at USTHB in 2012. Teacher-researcher since 2013 at thesame institution.Research Interestsfeature generation; machine learning; evidence theory; plausible andparadoxical reasoning theory; neutrosophic theory and its applications fortarget identification, document analysis, multimodal biometricverification, satellite images classification and fusion.List of Publications in NeutrosophicsFlorentin Smarandache, Nassim Abbas, Youcef Chibani, BilalHadjadji, Zayen Azzouz Omar (2016). PCR5 andNeutrosophic Probability in Target Identification. Journalof Progress in Nonlinear Dynamics and Chaos (PINDAC),vol. 4, no. 2, pp. 45-50, Jul. 2016.Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume19
Dr.A. A. A. AgboolaMathematics LecturerAffiliationDepartment of MathematicsFederal University of AgricultureAbeokuta / NIGERIAProfileGraduated from the University of Lagos, Nigeria, with BSc, MSc and PhDin Mathematics. Mathematics Lecturer in the Department of Mathematics,Federal University of Agriculture, Abeokuta, Nigeria for over two decades.Complete name: Agboola Adesina Abdul Akeem.Research Interestslinear and multilinear algebra; functional analysis; fuzzy sets; neutrosophy;neutrosophic sets; neutrosophic algebraic structures; neutrosophicalgebraic hyperstructures.Neutrosophic ResearchHis neutrosophic researches are focused on neutrosophic vector andhypervector spaces, neutrosophic groups, neutrosophic hypergroups,neutrosophic rings, neutrosophic nearrings, neutrosophic BCI/BCKalgebras and refined neutrosophic algebraic structures. Currently workingon neutrosophic quadruple algebraic structures.List of Publications in NeutrosophicsAgboola A.A.A., Akinola A.D., Oyebola O.Y. (2011).Neutrosophic Rings I. International Journal ofMathematical Combinatorics, 4, 1-14. Published by TheMadis of Chinese Academy of Sciences, China.20Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume
Agboola A.A.A., Adeleke E.O., Akinleye S.A. (2012).Neutrosophic Rings II. International Journal ofMathematical Combinatorics, 2, 1-8. Published by TheMadis of Chinese Academy of Sciences, China.Agboola A.A.A., Akwu A.D., Oyebo Y.T. (2012). NeutrosophicGroups and Subgroups. International Journal ofMathematical Combinatorics, 3, 1-9. Published by TheMadis of Chinese Academy of Sciences, China.Agboola A.A.A., Davvaz B. (2013). Introduction to NeutrosophicHypergroups. ROMAI Journal of Mathematics, 9 (2), 1-10.Agboola A.A.A., Davvaz B. (2014). On Neutrosophic CanonicalHypergroups and Neutrosophic Hyperrings. Neutrosophic Sets and Systems, 2, 34-41.Agboola A.A.A., Akinleye S.A. (2014). NeutrosophicHypercompositional Structures defined by BinaryRelations. Neutrosophic Sets and Systems, 3, 31-38.Agboola A.A.A., Akinleye S.A. (2014). Neutrosophic VectorSpaces. Neutrosophic Sets and Systems, 4, 9-18.Agboola A.A.A. (2015). On Refined Neutrosophic AlgebraicStructures. Neutrosophic Sets and Systems, 10, 99-101.Agboola A.A.A., Davvaz B. (2015). Introduction to NeutrosophicBCI/BCK-algebras, Int. J. Math. Math. Sci., Article ID370267.Agboola A.A.A., Davvaz B. (2015). On Neutrosophic Ideals ofNeutrosophic BCI-algebras. Critical Review 10, 93-103.Agboola A.A.A., Akinleye S.A. (2015). On NeutrosophicHypervector Spaces. To appear in ROMAI Journal ofMathematics.Akinleye S.A., Adeleke E.O., Agboola A.A.A., (2016),Introduction to Neutrosophic Nearrings. To appear inAnnals of Fuzzy Mathematics and Informatics (AFMI)Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume21
Mumtaz AliAssociate Editor-in-Chiefof Neutrosophic Sets and SystemsAffiliationDepartment of MathematicsQuaid-i-Azam University45320, Islamabad / PAKISTANProfileBorn Feb. 7th, 1988, in Pakistan. BSc in Mathematics & Computer Sciencefrom Pakistan Degree College Nowshera (2007-2009). MSc in Mathematicsfrom Quaid-i-Azam University, Islamabad (2010-2012). MPhil inMathematics from the same university (2012-2014). Currently serving asAssociate Editor-in-Chief of Neutrosophic Sets and Systems, an InternationalJournal in Information Science and Engineering. Honorary DoctorateDegree for his research contributions. One of the pioneers of NeutrosophicSet and Logic; proposed the Neutrosophic Triplets. Author of three bookson neutrosophic algebraic structures. Published more than 30 researchpapers in prestigious journals. Also reviewed several international booksin different areas of algebraic structures, fuzzy sets and logics,neutrosophic sets and logics. Referring Journals: Neural Computing andApplications (NCA), Iranian Journal of Fuzzy Sets and Systems, AppliedMathematics & Information Sciences (AMIS), Journal of Physical Science andEnvironmental Studies, Journal of Experimental & Theoretical ArtificialIntelligence, Journal of New Theory, Annals of Fuzzy Mathematics andInformatics. Member of Pakistan Mathematical Society (PakMS), Islamabad.Member of Quaidian Mathematical Society (QMS), Islamabad.Research Interestsneutrosophic set and logic; complex neutrosophic set and logic; hybridstructures of neutrosophic set; fuzzy set and logic; soft computing;decision support systems; machine learning; data mining; algebraicstructures based on neutrosophic set; neutrosophic triplet algebraicstructures; algebraic coding theory; soft set theory; clustering problems.22Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume
List of Publications in NeutrosophicsM. Ali, F. Smarandache. Complex Neutrosophic Set, NeuralComputing and Applications, Vol. 25, (2016), 1-18. DOI:10.1007/s00521-015-2154-y.I. Deli, M. Ali, F. Smarandache. Bipolar Neutrosophic Sets AndTheir Application Based On Multi-Criteria DecisionMaking Problems. (Proceeding of the 2015 InternationalConference on Advanced Mechatronic Systems, Beijing,China, August 22-24, 2015. IEEE Xplore, DOI:10.1109/ICAMechS.2015.7287068.F. Smarandache, M. Ali. Neutrosophic Triplet Groups. NeuralComputing and Applications, Vol. 27, No. 07 (2016), 1-18.DOI: 10.1007/s00521-016-2535-xM. Ali, I. Deli, F. Smarandache. The Theory of NeutrosophicCubic Sets and Their Applications in Pattern Recognition.Journal of Intelligent and Fuzzy Systems, (In press), 1-7,DOI:10.3233/IFS-151906.V. Vladareanu, R. I. Munteanu, M. Ali, L. Vladaranu. Theoptimization of intelligent control interfaces usingVersatile Intelligent Portable Robot Platform. InternationalConference on Communication, Management andInformation Technology (ICCMIT 2015), ProcediaComputer Science, Volume 65, 2015, Pages 225–232,doi:10.1016/j.procs.2015.09.115M. Ali, V. Behbood. Operation Properties and Delta- Equalities ofComplex Fuzzy Classes. The 10th International Conferenceon Intelligent Systems and Knowledge Engineering, ISKE24-17 Nov. IEEE Xplore, (2015) 586 - 593, DOI:10.1109/ISKE.2015.77.M. Ali, F. Smarandache. A New Type of Group Action throughthe Applications of Fuzzy Sets and Neutrosophic Sets.International Journal of Mathematical Combinatorics, Vol.04, no. 04, (2015), 33-40.L. Vladareanu, O. Melinte, L. Ciupitu, F. Smarandache, M. Ali,Hongbo Wang. NAO Robot Integration in the VirtualPlatform VIPRO. Special Workshop, ConferenceFlorentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume23
Proceedings of SISOM and Accoustics, Bucharest, Romania,22-23 May 2015.M. Ali, F. Smarandache. M. Naz, M. Shabir, Neutrosophic Code.Critical Review, A Publication of Society for Mathematicsof Uncertainty, Vol. IX, (2015), 44-54.M. Ali, M. Shabir, M. Naz, F. Smarandache. Soft NeutrosophicSemigroups and Their Generalization. Scientia Magna, Vol.10, No. 01, (2014), 93-111.M. Shabir, M. Ali, M. Naz, F.Smarandache. Soft NeutrosophicGroup. Neutrosophic Sets and Systems, Vol. 01, (2013), 1325.M. Ali, F. Smarandache, M. Shabir, M. Naz. Soft NeutrosophicBigroup and Soft Neutrosophic N-group. NeutrosophicSets and Systems, Vol. 02, (2014), 55-81.M. Ali, M. Shabir, M. Naz, F. Smarandache. Neutrosophic LeftAlmost Semigroup. Neutrosophic Sets and Systems, Vol.03, (2014), 18-28.F. Smarandache, M. Ali, M. Naz, M. Shabir. Soft NeutrosophicLeft Almost Semigroup. Conference Proceedings of SISOMand Accoustics, Bucharest, Romania, 22-23 May 2014.M. Ali, C. Dyer, M. Shabir, F. Smarandache. Soft NeutrosophicLoops and Their Generalization. Neutrosophic Sets andSystems, vol. 04, (2104), 55-75.M. Ali, F. Smarandache, M. Naz, M. Shabir. G-NeutrosophicSpace. Critical Review, A Publication of Society forMathematics of Uncertainty, Vol. VIII, (2014), 37-49.M. Ali, F. Smarandache, M. Shabir, L. Vladareanu. Generalizationof Neutrosophic Rings and Neutrosophic Fields.Neutrosophic Sets and Systems, vol. 05, (2014), 9-14.M. Ali, F. Smarandache. Neutrosophic Soluble Groups,Neutrosophic Nilpotent Groups and Their Properties.Conference Proceedings of SISOM and Accoustics, 2015,Bucharest, Romania.I. Deli, S. Broumi, M. Ali. Neutrosophic Soft Multi-Set Theory andIts Decision Making. Neutrosophic Sets and Systems, vol.05, (2014), 65-76.24Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume
M. Ali, F. Smarandache, L. Vladareanu, M. Shabir. Generalizationof Soft Neutrosophic Rings and Soft Neutrosophic Fields.Neutrosophic Sets and Systems, Vol. 06, (2014), 35-41.F. Smarandache, M. Ali. On Soft Mixed Neutrosophic NAlgebraic Structures. Int. J. Mathematical Combinatorics,Vol. 4, (2014), 127-138.M. Ali, F. Smarandache, S. Broumi, M. Shabir. A New Approachto Multi-spaces Through the Application of Soft Sets.Neutrosophic Sets and Systems, Vol. 7, (2015), 34-39.M. Ali. Smarandache Soft Semigroups and their Properties.Journal of New Theory, Vol.01, (2015), 80-88.S. Broumi, M. Ali, F. Smarandache. Mappings on Neutrosophicsoft Expert Sets. Journal of New Theory, Vol. 05, (2015), 2642.M. Ali, F. Smarandache, M. Shabir. Soft Neutrosophic Bi-LAsemigroup and Soft Neutrosophic N-LA semigroup.Neutrosophic Sets and Systems, Vol. 05, (2014), 45-58.M. Ali. Smarandache Soft Groupoids. Journal of New Theory, Vol.02, 3, (2015),10-19.M. Ali, F. Smarandache, J. Wang. δ-equalities of NeutrosophicSets. IEEE World Congress on Computational Intelligence2016.M. Ali, F. Smarandache, M. Shabir, M. Naz. Soft NuetrosophicRing and Soft Neutrosophic Field. Neutrosophic Sets andSystems, Vol. 03, (2014), 55-61.M. Ali. D.E. Tamir, N. D. Rishe, A. Kandel. Complex IntuitionisticFuzzy Classes. IEEE World Congress on ComputationalIntelligence 2016.I. Deli, S. Yusuf, F. Smarandache, M. Ali. Interval Valued BipolarNeutrosophic Sets and Their Application in PatternRecognition. IEEE World Congress on ComputationalIntelligence 2016.D. E. Tamir, M. Ali, N. D. Rishe, A. Kandel. Complex NumberRepresentation of Intuitionistic Fuzzy Sets. WorldConference on Soft Computing May 22-25, 2016, BerkeleyCalifornia, USA.Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume25
M. Ali, F. Smarandache, M. Shabir, M. Naz. Neutrosophic Bi- LASemigroup and Neutrosophic N-LA Semigroup.Neutrosophic Sets and Systems, Vol. 04, (2014), 19-24.F. Smarandache, H. E. Khalid, A. K. Essa, M. Ali. The Concept ofNeutrosophic Less than or Equal: A New Insight inUnconstrained Geometric Programming. Critical Review,Vol. XII, (2016), 72-80.BooksM. Ali, F. Smarandache, M. Shabir. New Research onNeutrosophic Algebraic Structures. EuropaNova, Brussels1000, Belgium.F. Smarandache, M. Ali, M. Shabir. Soft Neutrosophic AlgebraicStructures and Their Generalization. Vol. 1, EducationPublishing 1313, Chesapeake Avenue Columbus, Ohio43212, USA. www.edupublisher.com/M. Ali, F. Smarandache, M. Shabir. Soft Neutrosophic AlgebraicStructures and Their Generalization. Vol. 2, EuropaNova,Brussels 1000, Belgium.Chapters in BooksM. Ali, F. Smarandache. Chapter: Neutrosophic Soft Sets andTheir Properties, Hand Book of Research on Generalizedand Hybrid Set Structures and Applications for SoftComputing. IGI Global Publishing House, USA. ISBN13:9781466697980 - properties/148011M. Ali, F. Smarandache, L. Vladareanu. Chapter: HybridNeutrosophic Sets, Emerging Research on Applied FuzzySets and Intuitionistic Fuzzy Matrices. (Chapter accepted),IGI Global Publishing House, USA.Submitted PapersM. Ali, Nguyen Van Minh, Le Hoang Son. A NeutrosophicRecommender System for Medical Diagnosis Based onAlgebraic Neutrosophic Measures. IEEE Transaction onFuzzy Systems (Submitted).26Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume
M. Ali, F. Smarandache, W. B. V. Kandasamy. New Class of SoftLinear Algebraic Codes and Their Properties Using SoftSets. Journal of Applied Soft Computing, (Submitted on30th May, 2015).M. Ali, I. Deli. Bipolar Neutrosophic Soft Sets and TheirApplication Based on Decision Making. The 2016 IEEESymposium Series on Computational Intelligence (IEEESSCI 2016) , December 6-9, 2016.M. Ali, D. E. Tamir, N. D. Rishe, A. Kandel. Quaternion NumbersRepresentation of Pure Complex Intuitionistic FuzzyClasses. The 2016 IEEE Symposium Series onComputational Intelligence (IEEE SSCI 2016), December 69, 2016.M. Shabir, M. Ali, M. Naz. Soft Group Actions. Journal ofIntelligent and Fuzzy Systems (Submitted).C. D. Ngan, M. Ali, L. H. Son. δ-equalities of Intuitionistic FuzzySets and Their Application to Medical Diagnosis. FuzzyOptimization and Decision Making (Submitted).Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume27
Prof. Dr.Abdul Quaiyum AnsariAffiliationDepartment of Electrical EngineeringFaculty of Engineering and TechnologyJamia Millia IslamiaNew Delhi – 110025 / INDIAProfileBTech from AMU, Aligarh, MTech and PhD from IIT Delhi and JMI, NewDelhi, respectively. Professor in the Department of Electrical Engineeringat Jamia Millia Islamia, New Delhi. Also served as Professor and Head,Department of Computer Science and as Dean, Faculty of ManagementStudies and Information Technology at Hamdard University, New Delhi.Having completed three R & D Major Research Projects, he has gothands on experience of providing consultancy to one of the leading systemintegration companies of India, ONNYX Electronics, dealing ininstallation and maintenance of Traffic Signals in major cities of thecountry.Successfully guided 12 PhDs and 15 M. Tech. dissertations, and hasproduced excellent results with proven records through two patentapplications, 52 Peer Reviewed International Journal papers, one bookeach written and edited, 5 Book Chapters, and 90 Peer ReviewedInternational Conference papers, and has worked as Guest Editor of manyInternational Journals.Senior Member of IEEE, Fellow and Chartered Engineer of theInstitution of Engineers and IETE.Recipient of the Rajarambapu Patil National Award for PromisingEngineering Teacher for Creative Work Done in Technical Education forthe year 2011, awarded by the Indian Society for Technical Education,New Delhi, which is a testimony to the fact that he is a person withexcellent experience in Policy Planning in Education, CurriculumDevelopment, Human Resource Management, and Innovative Design ofMotivational Techniques.28Florentin Smarandache (founder and editor)Encyclopedia of Neutrosophic Researchers, 1st Volume
Neutrosophic ResearchHis contributions are known in the areas of Networks-on-Chip, VLSI,Microwave antenna, Fuzzy Logic and its variants, like Intuitionistic fuzzylogic and Neutrosophic logic. His mathematical formulations for the“Fuzzification of Intuitionistic Fuzzy Sets” have been widely appreciated.In the Neutrosophic Logic, area Prof. Ansari has worked for Neutrosophicclassifiers and Neutrosophic modeling and control.Research Interestselectronic communications; electronic devices; traffic signals.List of Publications in NeutrosophicsAnsari, A. Q., Biswas, R., & Aggarwal, S. (2012). Neutrosophicclassifier: An extension of fuzzy classifer. Applied SoftComputing, 13 (2013) 02Ansari, A. Q., Biswas, R., & Aggarwal, S. (2011). Proposal forApplicability
Encyclopedia of Neutrosophic Researchers, 1st Volume Foreword This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The authors are listed alphabetically. The introdu
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Albuquerque Basin, New Mexico by V. C. Kelley and A. M. Kudo SOCORRO 1978 . ii Published by Authority of State of New Mexico, NMSA 1953 Sec. 63-1-4 Printed by University of New Mexico Printing Plant, September, 1978 Available from New Mexico Bureau of Mines & Mineral Resources, Socorro, NM 87801 Price 5.00 .
President, University of New Mexico Dr. Robert G. Frank was selected as the 21st President of the University of New Mexico on January 4, 2012, and took office on June 1. The University of New Mexico is the state's largest institution of higher education and its flagship serving over 36,000 students across five campuses. The University of
Guide . NEW MEXICO DEPARTMENT OF TRANSPORTATION (NMDOT) NEW MEXICO DEPARTMENT OF . PUBLIC SAFETY (NMDPS) This booklet has been printed for use by the Trucking Industry and . WEIGHT DISTANCE PERMITS . Commercial Vehicle Bureau/ Motor Vehicle Division . P. O. Box 1028 . Santa Fe, New Mexico 87504-1028 (505) 827-0392 .
New Mexico Companies Export throughout the World In 2013, New Mexico companies sold their products in 184 international markets. Top export markets include: Goods exports accounted for 3.2 percent of New Mexico's state GDP in 2013. New Mexico's goods exports have grown 55 percent fa
3006 AGMA Toilet Additive 1338 (3006) 19.0% 2914 CERAVON BLUE V10 DC (2914) 0.05% 2922 FORMALDEHYDE REODORANT ALTERNATIVE (2922) 0.6% 3 Water (3) 80.05% Constituent Chemicals 1 Water (3) 80.05% CAS number: 7732-18-5 EC number: 231-791-2 Product number: — EU index number: — Physical hazards Not Classified Health hazards Not Classified Environmental hazards Not Classified 2 Bronopol (INN .
