(c) A multivalued logz'c in which truth values are in the interval (O, 1 J and the valuation of a disjunction is the maximum of the disjuncts, whilst that of a conjunction zs the minimum of the conjuncts. This narrow definition encompasses the population stereotype of a 'fuzzy logic' [4-9]. It is interesting that most infinitely-v~ued MVLs [13] have min/max connectives for conjunction/disjuncti...

For fuzzy mathematical models using general fuzzy sets rather than fuzzy numbers or fuzzy vectors, operations (addition and scalar multiplication) and orderings of fuzzy sets are needed, and the concept of fuzzy set-valued convex mappings is important. In the present paper, fundamental properties of operations, orderings, and fuzzy set-valued convex mappings for general fuzzy sets are investiga...