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 name	Fuzzy RFT antecedents (premises)	Premises as separate fuzzy equations ,	Premises as a single fuzzy equation RFT	Conclusions as a single fuzzy equation RFT	Conclusions 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)