In this paper, following the ideas of (continuous) t-norm and interval numbers, a concept of (continuous) interval-valued t-norm is proposed. Based on the interval-valued fuzzy set and the continuous interval-valued t-norm, we propose a notion of interval-valued fuzzy metric space, which is a generalization of fuzzy metric space in the sense of George and Veeramani [Fuzzy Sets and Systems 64 (1...

Finite sets are one of the most fundamental mathematical structures. In the absence of the axiom of choice there are many different inequivalent definitions of finite even in classical logic. When we allow incomplete existence as in fuzzy sets the situation gets even more complicated. This paper gives nine distinct definitions of finite in a fuzzy context together with examples showing how the ...

The design of analog circuits is a complex and repetitive process aimed at finding the best variant. It characterized by uncertainty multivariate approaches. designer has to make different choices satisfy predefined specification with required parameters. This paper proposes method for facilitating amplifiers based on m-polar fuzzy graphs theory deep learning. M-polar are used because their fle...

We explore a notion of fuzzy T -neighbourhood spaces, for any continuous triangular norm T , and we present on this notion a uni6ed treatment. Our theory, on one hand, generalizes the theory of Lowen (Fuzzy Sets and Systems 7 (1982) 65) from T =Min to arbitrary T , which has been the progenitor of this work, and on the other hand it is strongly related to the theory of L-neighbourhoods of H; oh...

The development and maintenance of software reliability enjoys a high priority in the evolution of modern computer technology. Over the last three decades or so, a tremendous amount of research has gone into the theory and practice of producing reliable software. Given the many subjective factors that in3uence software reliability, it is surprising that very little of this research has been dir...

The quantum space-time and the phase space of massive particles with Fuzzy Geometry structure investigated as the possible quantization formalism. In this model the state of nonrelativistic particle m corresponds to the element of fuzzy ordered set (Foset)-fuzzy point. Due to its partial ordering m space coordinate x acquires principal uncertainty σ x. It's shown that Fuzzy Mechanics (FM) in 1+...