… discuss set operations on type-2 fuzzy sets (including join and meet under minimum=product
t-norm), algebraic operations, properties of membership grades of type-2 sets, and type-2 …

… type-2 fuzzy sets for which we provide a simple type-reduction computation procedure. We
also apply a type-2 … Since this operation takes us from the type-2 output sets of the FLS to a …

… type-2 fuzzy sets for this purpose. The development of a type-2 FLS has led to a new operation
… In the course of this development, we also study set operations on type-2 sets, properties …

… -1 fuzzy sets; hence, their use is not yet widespread. In this paper we make type-2 fuzzy sets
… [34] studied the set theoretic operations of type-2 fuzzy sets and properties of membership …

… the type-2 FLS operation for singleton and nonsingleton fuzzification. We will introduce the
various operations employed … Index Terms—General forms of interval type-2 fuzzy sets (gfIT2 …

… interval type-2 fuzzy logic systems (FLSs). We propose an efficient and simplified method to
compute the input and antecedent operations for interval type-2 FLSs; one that is based on a …

… of secondary sets, we can reinterpret a type-2 fuzzy set as the union of all secondary sets, ie,
… We have shown that the centroid operation for a general type-2 fuzzy set is computationally …

… design methods will permit an interval type-2 FLS to operate without type-reduction, we
then compare the operating performance of the interval type-2 FLS with and without type-…

… Based on the proposed fuzzy ranking method and the proposed arithmetic operations
between interval type-2 fuzzy sets, we present a new method to handle fuzzy multiple attributes …

… representations for general type-2 fuzzy sets (GT2 FSs); (2) … how to obtain set theoretic
and other operations for GT2 FSs … type-2 (IT2) FLSs so that their mathematical operations can …