This study focuses on combining the theories of m -polar fuzzy sets over id="M2"> BCK -algebras and establishing a new framework id="M3"> id="M4"> -algebras. In this paper, we define idea id="M5"> positive implicative ideals in id="M6"> investigate some related properties. Then, introduce concepts id="M7">...

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.

In this paper, we introduce a stationary M∞-fuzzy metric on the set C B(X), where M∞-fuzzy metric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real number and C B(X) is the class of fuzzy sets with nonempty bounded closed α-cut sets. Under the φ-contraction conditions, we give some common fixed point theorems for self-mappings in the space C B(X).

Welcome to the Journal of Intelligent and Fuzzy Systems’s special issue for “FUZZYSS’2009: 1st International Fuzzy Systems Symposium”. Since its introduction by Prof. Lotfi A. Zadeh fuzzy logic has found numerous applications in many diverse areas. Scientific research related to fuzzy logic and its extensions is still an open and promising active research area. There is still a very long way to...

Abstract This paper formalizes a novel model that is able to use both interval representations, parameterizations, partial memberships and multi-polarity. These are differing modalities of uncertain knowledge supported by many models in the literature. The new structure embraces all these features simultaneously called interval-valued multi-polar fuzzy soft set (IV m FSS, for short). An enhance...

Abstract In this paper, first we introduce the concepts of interval valued m -polar fuzzy (briefly, IV PF) p -ideals, PF q -ideals and a in BCI-algebras. Then show that ( )-ideals are ideals but converse statements not valid an example is given each case. We provide conditions under which ideal becomes )-ideal. Further, associated properties considered. Moreover, characterize terms Also, corres...

We introduce the concepts of IVF m-semiopen sets, IVF m-preopen sets, IVF m-semicontinuous mappings and IVF mprecontinuous mappings on interval-valued fuzzy minimal spaces. We investigate characterizations of IVF m-semicontinuous mappings and IVF m-precontinuous mappings and study properties of IVF m-semiopen sets and IVF m-preopen sets.