Special Fuzzy Matrices for Social Scientists

zbMATH Open1156.15007arXiv0707.4637MaRDI QIDQ5424945

W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral

Publication date: 7 November 2007

Abstract: This book introduces special classes of Fuzzy and Neutrosophic matrices. These special classes of matrices are used in the construction of multi-expert special fuzzy models using FCM, FRM and FRE and their Neutorosophic analogues (simultaneous or otherwise, according to ones need). Using the six basic models, we have constructed a multi-expert multi-model called the Super Special Hexagonal Fuzzy and Neutrosophic model. Given any special input vector, these models can give the resultant using special operations. When coupled with computer programming, these operations can give the solution within a reasonable time period. Such multi-expert multi-model systems are not only a boon to social scientists, but also to anyone who wants to use Fuzzy or Neutrosophic models.

Full work available at URL: https://arxiv.org/abs/0707.4637

zbMATH Keywords

fuzzy relationfuzzy modelfuzzy matrixcognitive mapsocial scientistsrelational mapn-matricesneutrosophic matrixneutrosophic model

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Other social and behavioral sciences (mathematical treatment) (91F99) Mathematics for nonmathematicians (engineering, social sciences, etc.) (00A06) Fuzzy algebraic structures (08A72)

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