The article presents a multidimensional type 2 epistemic fuzzy arithmetic (MT2EF-arithmetic) based on the new body definition of set (T2FS), which in authors’ opinion, is more suitable for computing than current versions (FA) border T2FS. proposed MT2EF-arithmetic designed variables and has mathematical properties that allow obtaining universal algebraic calculation results. performs calculatio...

fuzzy groups and fuzzy theory have a lot of applications in several sciencessuch as mathematics, computer science, computer and electrical engineering.hence, counting the number of fuzzy subgroups of finite groups to classify them isan important issue in fuzzy theory. the main goal of this paper is to give an explicitformula for the number of fuzzy subgroups of a finite cyclic groupg z p1 z p 2...

fuzzy groups and fuzzy theory have a lot of applications in several sciences such as mathematics, computer science, computer and electrical engineering. hence, counting the number of fuzzy subgroups of finite groups to classify them is an important issue in fuzzy theory. the main goal of this paper is to give an explicit formula for the number of fuzzy subgroups of a finite cyclic group g z p1 ...

2 Vagueness, Uncertainty and Fuzzy Logic 2 2.1 Vagueness and Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.2 Vagueness and Fuzzy Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.3 What Is Fuzzy Logic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.4 Agenda of Fuzzy Logic . . . . . . . . . . . . . . . . . . . . . . . . . . . ....

This paper introduces a new mathematical method for introducing Membership function in fuzzy systems. This new mathematical definition relies on concept of continuousvalued logic (CVL) which can be applied to control the pulse width of generated Pulse Width Modulation. The introduced Membership function is in the form of triangle with curved brim in order of two. For the first time, degree of m...

In this paper, we introduce the concepts of $2$-isometry, collinearity, $2$%-Lipschitz mapping in $2$-fuzzy $2$-normed linear spaces. Also, we give anew generalization of the Mazur-Ulam theorem when $X$ is a $2$-fuzzy $2$%-normed linear space or $Im (X)$ is a fuzzy $2$-normed linear space, thatis, the Mazur-Ulam theorem holds, when the $2$-isometry mapped to a $2$%-fuzzy $2$-normed linear space...