We consider the concept of fuzzy quasi-contractions initiated by '{C}iri'{c} in the setting of fuzzy metric spaces and establish fixed point theorems for quasi-contractive mappings and for fuzzy $mathcal{H}$-contractive mappings on M-complete fuzzy metric spaces in the sense of George and Veeramani.The results are illustrated by a representative example.

In the last years fuzzy (quasi-) metrics and indistinguishability operators have been used as a mathematical tool in order to develop appropriate models useful applied sciences as, for instance, image processing, clustering analysis multi-criteria decision making. The both aforesaid similarities allow us fuzzify crisp notion of equivalence relation when certain degree similarity can be only pro...

let $s$ be an ordered semigroup. a fuzzy subset of $s$ is anarbitrary mapping   from $s$ into $[0,1]$, where $[0,1]$ is theusual interval of real numbers. in this paper,  the concept of fuzzygeneralized bi-ideals of an ordered semigroup $s$ is introduced.regular ordered semigroups are characterized by means of fuzzy leftideals, fuzzy right ideals and fuzzy (generalized) bi-ideals.finally, two m...

Abstract In this paper we present a new approach for the fuzzy quasi-b-metric spaces and obtain some properties of these spaces. A special attention is granted to decomposition theorems into right continuous ascending family quasi-b-metrics. Finally, future lines research are highlighted.

Fuzzy quasi-interpolations help to reduce the complexity of solving a linear system of equations compared with fuzzy interpolations. Almost all fuzzy quasi-interpolations are focused on the form of $widetilde{f}^{*}:mathbb{R}rightarrow F(mathbb{R})$ or $widetilde{f}^{*}:F(mathbb{R})rightarrow mathbb{R}$.  In this paper, we intend to offer a novel fuzzy radial basis function by the concept of so...

The authors characterize the notion of quasi coincident in texture spaces and study the generalization of fuzzy quasi separation axioms defined by [12] to the ditopological texture spaces.

Bisimulation metrics provide a robust and accurate approach to study the behavior of nondeterministic probabilistic processes. In this paper, we propose a logical characterization of bisimulation metrics based on a simple probabilistic variant of the Hennessy-Milner logic. Our approach is based on the novel notions of mimicking formulae and distance between formulae. The former are a weak versi...

On the basis of the concept of grades of a fuzzy point to belongingness (∈) or quasi-coincident (q) or belongingness and quasi-coincident (∈ ∧q) or belongingness or quasi-coincident (∈ ∨q) in an intuitionistic fuzzy set of a ring, the notion of a (α,β )intuitionistic fuzzy subring and ideal is introduced by applying the Lukasiewicz 3-valued implication operator. Using the notion of fuzzy cut se...

di(x,A) = inf{di(x,A) : a ∈ A}, i ∈ I Hi(A,B) = max{sup di(a,B), sup di(A, b)} = sup{|di(x,A) − di(x,B)|} where a ∈ A, b ∈ B and x ∈ X It is well known that on 2 , Hi is a pseudometric, called the induced Hausdorff pseudometric induced by di, i ∈ I. Let (X,U) be a unifrom space with an augumented associated family p∗. p∗ also induces a uniformity U∗ on 2 defined by the base β∗ = {V ∗(i, ε) : i ...

In this paper we de ne interval valued fuzzy h-quasi-ideals and interval valued fuzzy h-bi-ideals. We characterize h-hemiregular and h-intra-hemiregular hemirings by the properties of their interval valued fuzzy h-ideals, interval valued fuzzy h-quasiideals, and interval valued fuzzy h-bi-ideals.