Analysing Properties, Conjugate and Dual Constructions on Fuzzy s-X(N)or Connectives

摘要

The main contribution of this paper is the study of a fuzzy X(N)or class, named as fuzzy s-(N)Xor, which is explicitly de ned and graphi-cally represented by the product t-norm, probabilis-tic sum and standard negation. The fuzzy s-Xor (co)implications obtained by such fuzzy s-X(N)or connectives are also considered along with the cor-responding conjugate functions. The relationship be-tween a fuzzy s-Xor E and its conjugate function Ep is discussed in the following together with their dual constructions. Additionally, for a fuzzy s-Xor E con-nective both constructions, its dual connective XNor EN and its conjugate Ep , satisfy analogous properties of the e-Xor class.