Abstract
Fuzzy prepositional logic structure is summarized; different forms of fuzzy prepositional expressions and their relations are discussed. Two-sided fuzzy proposition is defined in prepositional logic algebra as the counterpart of intuitionistic fuzzy set. The concept of two-sided fuzzy reasoning is discussed and its mathematical structure is developed. Using two-sided fuzzy propositions, human decision making can be closely simulated by considering his perception of both (somewhat opposite) sides of the subject matter simultaneously. Multiuniverse two-sided fuzzy propositions are presented and multiuniverse operations are defined. Two-sided fuzzy if-then rules are investigated under different interpretations of fuzzy implications. Approximate of these different implications and the inferences in the output universe are investigated, and associated error terms are identified.
| Original language | English |
|---|---|
| Pages (from-to) | 662-677 |
| Number of pages | 16 |
| Journal | IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans |
| Volume | 28 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1998 |
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