In this paper we generalize some classical factorizations of a fuzzy relation into a symmetric component (indifference) and an asymmetric and regular component (regular fuzzy strict preference). From the above notions, we establish two properties of any regular fuzzy strict preference of a max-∗-transitive fuzzy relation, which are then used to obtain new fuzzy versions of Gibbard’s oligarchy t...

The starting point of this paper is the introduction of a new measure of inclusion of fuzzy set A in fuzzy set B. Previously used inclusion measures take values in the interval [0,1]; the inclusion measure proposed here takes values in a Boolean lattice. In other words, inclusion is viewed as an Lfuzzy valued relation between fuzzy sets. This relation is reflexive, antisymmetric and transitive,...

‎In this article we introduce $mu$-filtered fuzzy module with a family of fuzzy submodules.  It shows the relation between $mu$-filtered fuzzy modules and crisp filtered modules by level sets. We investigate fuzzy topology on the $mu$-filtered fuzzy module and apply that to introduce fuzzy completion. Finally we extend Krull's intersection theorem of fuzzy ideals by using concept $mu$-adic comp...

This article introduces the fuzzy relation. This is the expansion of usual relation, and the value is given at the fuzzy value. At rst, the deenition of the fuzzy relation characterized by membership function is described. Next, the deenitions of the zero relation and universe relation and basic operations of these relations are shown. In this paper C 1 , C 2 are non empty sets. Let us consider...

The topological relationship of disjoint is ubiquitous in physical world, while the traditional topological relationship models do not take more considerations about it. Point set topology is exhaustive for topological relation set and rational for topological computation; nevertheless, it is not good at spatial reasoning. Although RCC5 or RCC8 is competent for spatial reasoning, it is not fit ...

This paper is devoted to a class of fuzzy or derings which play a fundamental role in de cision analysis and fuzzy control strongly linear fuzzy weak orderings First we see that any relation of that kind can be decom posed into a crisp linear ordering and a fuzzy equivalence relation As a consequence a general representation theorem follows Fi nally a method for constructing strongly lin ear fu...

BACKGROUND Objective walkability is an important correlate of adults' physical activity. Studies investigating the relation between walkability and children's physical activity are scarce. However, in order to develop effective environmental interventions, a profound investigation of this relation is needed in all age groups. The aim of this study was to investigate the association between obje...

in this paper, a new definition of fuzzy bounded sets and totallyfuzzy bounded sets is introduced and properties of such sets are studied. thena relation between totally fuzzy bounded sets and n-compactness is discussed.finally, a geometric characterization for fuzzy totally bounded sets in i- topologicalvector spaces is derived.