The Scientific World Journal / 2015 / Article / Tab 1

Research Article

A Modern Syllogistic Method in Intuitionistic Fuzzy Logic with Realistic Tautology

Table 1

MSM derivation of fuzzy versions of famous rules of inference the particular conclusion of a rule is highlighted in bold.

Rule nameFuzzy RFT antecedents (premises)Premises as separate fuzzy equations , Premises as a single fuzzy equation RFTConclusions as a single fuzzy equation RFTConclusions as separate fuzzy equations , Fuzzy RFT consequence (conclusion)

MODUS PONENS



MODUS TOLLENS



HYPOTHETICAL SYLLOGISM




SIMPLIFICATION

CONJUNCTION


CONSTRUCTIVE DILEMMA











DISJUNCTIVE SYLLOGISM



ADDITION
An alterm subsuming an RFT alterm is also RFT

ABSORPTION
by reflection law

CASES






  


CASE ELIMINATION





 and 

REDUCTIO AD ABSURDUM (CONTRADICTION)

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