September 2014
Intermediate to advanced
632 pages
21h 5m
English
Content preview from Soft Computing and Its Applications, Volume One
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CHAPTER 4
FUZZY IMPLICATIONS AND FUZZY
IF-THEN MODELS
4.1 INTRODUCTION
Material implication is a conditional proposition normally represented as (x → y),
where x is the antecedent, y is the consequent. A conditional proposition is a complex
proposition consisting of the two sub-propositions x and y connected with the material
implication connective "→". The natural language interpretation of material implica-
tion is "if x is TRUE, then y is TRUE", or simply as "x implies y". But the natural
language interpretation of material implication does not say anything about the case,
when x is FALSE. The material implication is defined both in case x is ...
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