Two definitions of fuzzy sets with Boolean-valued membership functions, introduced by Drossos and Markakis and called by them external and internal Boolean fuzzy sets, are compared with a third, classical definition descending more directly from the original Zadeh's and Goguen's ideas. Under some rather general conditions, internal and classical Boolean fuzzy sets are proved to be equivalent in...

In this paper, we define a new contractive mapping called fuzzy (φ,ψ)-contraction in fuzzy metric space and prove a fixed point theorem for this type of mapping. Finally, an example is given to illustrate the main result of this paper. Mathematics Subject Classification: 54E70; 47H25

Images of fuzzy relations provide powerful access to fuzzifications of properties of and/or relationships between fuzzy sets. As an important example, images of fuzzy orderings canonically lead to a concept of ordering of fuzzy sets. This contribution studies in which way the partial (i.e. componentwise) monotonicity of an n-ary mapping transfers to its extension to fuzzy sets.

In this paper, we used the supra fuzzy topology which generated from a fuzzy bitopological space [1] to introduce and study the concepts of continuity (resp. openness, closeness) of mapping, separation axioms and compactness for a fuzzy bitopological spaces. Our definition preserve much of the correspondence between concepts of fuzzy bitopological spaces and the associated fuzzy topological spa...

Since the early 1990s, the mathematical models have been developed and applied to landslide hazard mapping using GIS. Among various models, this paper discusses the effectiveness of fuzzy set theory for landslide hazard mapping. In this study, we collected several data sets related to landslide occurrences in Boeun, Korea, and then digitally represented as the fuzzy membership functions. To int...

The aim of this paper is to introduce the concept of fuzzy generalized closed set and study its properties. Secondly the concept of infra L-fuzzy topological space is introduced. Making use of fuzzy -closed sets and fuzzy -generalized closed sets the concept of fuzzy -generalized continuous mapping is introduced. Lastly the concept of fuzzy generalized closed irresolute map in L-fuzzy topologic...

Motivated by the recent successful results of using GIS modeling in a variety of problems related to the geosciences, some knowledge-based methods were applied to a regional scale mapping of the mineral potential, special for Cu-Au mineralization in the Feyz-Abad area located in the NE of Iran. Mineral Prospectivity Mapping (MPM) is a multi-step process that ranks a promising target area for mo...

In this paper, the concept of a fuzzy soft mapping on a fuzzy soft set is introduced and the study of fixed points of such mappings is initiated.

The notion of fuzzy sets 6 relates to objects with unsharp boundaries and the degrees of membership plays a crucial role in describing them. In case of fuzzy sets, we allow the truths of propositions to be expressed in terms of degrees which offers a considerably broader framework for knowledge representation while dealing with uncertainty. In his paper , Heilpern introduced the concept of a fu...