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Modus Ponens for Fuzzy Data Realized Via Equations with Equality Operators
Author(s) -
Di Nola Antonio,
Sessa Salvatore,
Pedrycz Witold
Publication year - 1990
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.1990.5.1.1
Subject(s) - modus ponens , fuzzy logic , mathematics , basis (linear algebra) , space (punctuation) , mechanism (biology) , defuzzification , scheme (mathematics) , computer science , calculus (dental) , fuzzy set , algebra over a field , fuzzy number , artificial intelligence , epistemology , pure mathematics , mathematical analysis , philosophy , medicine , geometry , dentistry , operating system
A mechanism for realizing a modus ponens performed on the basis of the collection of "if‐then" statements containing fuzzy premises is studied. Its essence relies on derivation of a relational mechanism transforming fuzzy truth from the space of antecedents to the space of consequents. Moreover, some considerations dealing with relevancy of the studied scheme of reasoning are included.