In this article, the authors introduced concept of graphical fuzzy metric spaces which is a generalization with help relation. The discussed some topological structure, convergence criteria, and proved Banach fixed-point result in space. As an application obtained results, find solution integral equation nonlinear fractional differential equations context spaces. provided examples to illustrate...

the main aim of this paper intends to discuss the solution of fuzzy sylvester matrix equation

In this paper a new method for solving fuzzy differential equation with fractional order is considered. The fuzzy solution is construct by power series in the Caputo derivatives sense. To illustrate the reliability of method some examples are provided. In this paper a new method for solving fuzzy differential equation with fractional order is considered. The fuzzy solution is construct by power...

A new systematic algorithm to build adaptive linguistic fuzzy models directly from input-output data is presented in this paper. Based on clustering and projection in the input and output spaces, significant inputs are selected, the number of clusters is determined, rules are generated automatically, and a linguistic fuzzy model is constructed. Then, using a simplified fuzzy reasoning mechanism...

Fuzzy dark matter (FDM) is composed of ultra-light bosons having a de Broglie wavelength that comparable to the size stellar component galaxies at typical galactic velocities. FDM behaves like cold on large scales. However, scale wavelength, an halo exhibits density fluctuations lead relaxation, process similar two-body relaxation occurs in classical gravitational N-body systems and described b...

This paper is concerned with the existence, uniqueness and asymptotic behavior of the positive solutions of a fuzzy Logistic difference equation xn+1 = A+Bxn−1e −xn , n = 0, 1, · · · , where (xn) is a sequence of positive fuzzy number, A,B are positive fuzzy numbers and the initial conditions x−1, x0 are positive fuzzy numbers. Moreover an illustrative example is given to demonstrate the effect...

First, Similarity Of Fuzzy Ontology Generation For Semantic Web, Fuzzy Formal Concept Analysis incorporates fuzzy logic into Formal Concept Analysis (FCA) to form a fuzzy concept lattice. The fuzzy ontology is an extension of the domain ontology for solving the uncertainty problems. Fuzzy Conceptual Clustering then constructs the concept hierarchy from the fuzzy concept lattice. Finally, Fuzzy ...

in this paper, we define the notions of fuzzy congruence relations and fuzzy convex subalgebras on a commutative residuated lattice and we obtain some related results. in particular, we will show that there exists a one to one correspondence between the set of all fuzzy congruence relations and the set of all fuzzy convex subalgebras on a commutative residuated lattice. then we study fuzzy...

Galois connection in crisp binary relations has proved to be useful for several applications in computer science. Unfortunately, data is not always presented as a crisp binary relation but may be composed of fuzzy values, thus forming a fuzzy binary relation. This paper aims at defining the notion of fuzzy galois connection corresponding to a fuzzy binary relation in two steps: firstly by defin...