This paper introduces the concept of fuzzy neutrosophic equivalence relations and discuss some of their properties. define fuzzy neutrosophic transitive closure and investigate their properties.

In this paper, first we give the definitions of various indicators of fuzzy relations and their basic properties. Then we investigate the relationships between these indicators, particularly between those of T-transitivity, negative S-transitivity, T–S-semitransitivity and T–S-Ferrers property. The investigation is divided into three parts: results in the general case, results under a condition...

In this review article we present results regarding the fuzzy order relations.The concept of fuzzy order was introduced by generalizing the notion of reflexivity, antisymmetric and transitivity.

This study investigates whether people represent the beginnings and ends of events as fuzzy temporal frames and subsequently construct event temporal relations. The study adopted Allen’s (1984; 1991) seven logical categories of temporal relations. Constructing the seven relations often requires the accurate encoding and (or) retrieval of the beginnings and ends of events. We used a recurrent ne...

It is introduced an approach to the problem of "building logics" over sets of facts with only structured by a fuzzy relation of "consequence". Notions of "Truth" and "Falsehood" are introduced by means of two generalizations for classical Modus Ponens and Modus Tollens. Studying this concepts a theoretical base to explain the mode of reasoning in expert systems is obtained. By studying fuzzy tr...

For the last decade, fuzzy controllers have been applied with great success to a variety of domains. Nevertheless the underlying theoretical framework still remains unsatisfactory. One of the key questions still open is concerned with approximate reasoning. How should we determine the eeect of applying the fuzzy rule IF x is ~ A THEN y is ~ B] to ~ A 0 with ~ A 0 , ~ A, and ~ B being fuzzy sets...

Recently, Phiangsungnoen et al. [J. Inequal. Appl. 2014:201 (2014)] studied fuzzy mappings in the framework of Hausdorff fuzzy metric spaces.Following this direction of research, we establish the existence of fixed fuzzy points of fuzzy mappings. An example is given to support the result proved herein; we also present a coincidence and common fuzzy point result. Finally, as an application of ou...

There have been many research developments on the conceptual description of topological relations between spatial objects. In order to practically implement these conceptual topological relations in a computer environment, we need to calculate the values of the topological relations. One of the theoretical bases for doing this is a computational fuzzy topology, which is the research focus of th...