type 2 fuzzy setsuncertain fuzzy clusteringFuzzy $C$ -means (FCM)fuzzy clusterIn many pattern recognition applications, it may be impossible in most cases to obtain perfect knowledge or information for a given pattern set. Uncertain information can create imperfect expre...
In a type-2 fuzzy logic system, one of the important operations is to calculate the centroid of an interval type-2 fuzzy set (IT2 FS). In this paper, two novel algorithms called binary algorithms are proposed to calculate the centroid of IT2 FSs. Then, the outputs of the proposed binar...
An important problem in working with fuzzy sets is the correct construction of the membership functions that represent the objects of the system. Different experts construct different membership functions to represent the same object. In this paper, we construct an interval type-2 fuzzy set (IT2FS...
An evolutionary architecture was proposed to generate the rule base and to optimize the membership functions of a type-2 Fuzzy Classification System The proposed architecture is composed of three stages. In the first stage of the architecture, a Genetic Algorithm generates the rule base of the ...
The concept of type-2 fuzzy sets was introduced by Zadeh [41] as an extension of the concept of an ordinary fuzzy set, i.e., a type-1 fuzzy set. Type-2 fuzzy sets have grades of membership that are themselves fuzzy [4]. A type-2 membership —the primary membership; grade can be...
To date, because of the computational complexity of using a general type-2 fuzzy set (T2 FS) in a T2 fuzzy logic system (FLS), most people only use an interval T2 FS, the result being an interval T2 FLS (IT2 FLS). Unfortunately, there is a heavy educational burden even to using an...
While excessive arithmetic operations are needed with type-2 fuzzy sets with respect to type-1's, type-2 fuzzy sets generalize type-1 fuzzy sets and systems so that more uncertainty for defining membership functions can be handled. A type-2 fuzzy set lets us incorporate the uncertainty of ...
For an interval type-2 fuzzy set, the volume measure is equivalent to the area of the footprint of uncertainty of the set. Experiments show that though the two measures give different results, there is considerable commonality between them. The concept of {\it invariance under vertical ...
It has been widely used in ranking of multi alternatives with respect to multi criteria with the superiority of fuzzy set type-1. In this paper based on the interval type-2 fuzzy sets, we introduce a new method of fuzzy TOPSIS for handling fuzzy ranking multi criteria group/individual decisio...
Upper(lower) Approximation of an Interval-valued Fuzzy Set; 区间值模糊集上的上(下)近似 2. Upper and Lower Approximation of an Interval-valued Fuzzy Set Based on Weak Inclusion 基于弱包含的区间值模糊集的上下近似 3. Based on the analysis of interval-valued fuzzy set theory and the existing...