Generalized Conjunction, Disjunction and Negation Operations in Fuzzy Modeling

摘要

Generalized operations of fuzzy logic are considered. New methods of generation of involutive, contracting and expanding negations are proposed. The methods of generation of simple parametric classes of non-associative conjunctions are discussed. The ways of embedding of strict monotonic conjunction and disjunction operations on ordinal scales based on the concept of lexicographic valuation (uncertainty with memory) and aimed to application in expert systems are described.