Inference mechanisms and interpretations of fuzzy rule bases are studied together from the point of view of systems of fuzzy relation equations. A proper use of an inference mechanism connected to a fuzzy relation interpreting a fuzzy rule base is certified by keeping the fundamental interpolation condition. The paper aims at new solutions of systems of fuzzy relation equations which are motiva...

Based upon previous studies on laws of large numbers for fuzzy, random, fuzzy random and random fuzzy variables, We go further to explore weak law of large numbers(WLLN) for hybrid variables comprising fuzzy random variables and random fuzzy variables. we mainly prove Chebyshev WLLN, Poisson WLLN, Bernoulli WLLN, Markov WLLN and Khintchin WLLN for hybrid variables based on chance measure.

In this paper we introduce the notion of intuitionistic fuzzy f morphism on intutionistic fuzzy graphs and regular intutionistic fuzzy graph. We study the action of intuitionistic fuzzy f morphism on intuitionistic fuzzy strong regular graphs. We derive some simple but elegent results on weak and coweak isomophisms. Mathematics Subject Classification: 03E72, 03F55