in this note we consider the notion of intuitionistic fuzzy (weak) dual hyper k-ideals and obtain related results. then we classify this notion according to level sets. after that we determine the relationships between intuitionistic fuzzy (weak) dual hyper k-ideals and intuitionistic fuzzy (weak) hyper k-ideals. finally, we define the notion of the product of two intuitionistic fuzzy (weak) du...

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 2006, Espinola and Kirk made a useful contribution on combining fixed point theoryand graph theory. Recently, Reich and Zaslavski studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In this paper, by using  the main idea of their work and the idea of combining fixed point theory on intuitionistic fuzzy metric spaces and graph theory, ...

Decision makers sometimes tend to express their preferences in intuitionistic fuzzy form. Based on evidence theory and grey relational analysis (GRA) technique, this paper aims at investigating multiple attribute decision making problems, in which both attribute values and weight values take the form of intuitionistic fuzzy numbers (IFNs). To this end, each intuitionistic fuzzy evaluation ratin...

Extending the well-known result that every fuzzy metric space, in the sense of Kramosil and Michalek, has a completion which is unique up to isometry, we show that every KM-fuzzy quasi-metric space has a bicompletion which is unique up to isometry, and deduce that for each KM-fuzzy quasi-metric space, the completion of its induced fuzzy metric space coincides with the fuzzy metric space induced...

The notion of an intuitionistic fuzzy metric space is a natural generalization of the fuzzy metric space concept which provides mechanisms to measure the degree of nearness and remoteness between two elements of a fuzzy set according to a parameter t. In this work we show how, interpreting t as a value representing the evolution time of an information system, we can use effective prediction too...

* Correspondence: [email protected] School of Computer & Systems Sciences, Jawaharlal Nehru University, New Delhi 110 067, India Full list of author information is available at the end of the article Abstract In this article, we utilize the notions of the property (E.A.) and common property (E. A.) in the setting of modified intuitionistic fuzzy metric spaces to prove a result interrela...

In this paper, we introduce the concept of ∈chainable intuitionistic fuzzy metric space akin to the notion of ∈chainable fuzzy metric space, introduced by Cho, and Jung [6] and prove a common fixed point theorem for weakly compatible mappings in this newly defined space.