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... W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE FUZZY RELATIONAL MAPS AND NEUTROSOPHIC... ... W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE FUZZY RELATIONAL MAPS AND NEUTROSOPHIC RELATION... ...600036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New M... ...dia e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gal... ...rnataka, India. Copyright 2004 by W. B. Vasantha Kandasamy and Florentin Smarandache Layout by Kama Kandasamy. Cover design by Meena Kan... ... 1.21 Some properties of minimal solution for a FRE 123 1.22 FRE and causal reasoning 126 1.23 Identification of FRE by fuzzy neural networks 13... ...ese generalizations concepts 29 from some applications such as approximate reasoning and fuzzy control. Given a particular t-norm i and two fuz... ...used ways of constructing fuzzy inference systems is the method of approximate reasoning which can be implemented on the basis of compositional rul... ...which are absent, i.e. all manifestations which are present are observed. While deductive reasoning enables us to predict the presence of manifestat...