Fuzzy topology based on interior operators is studied in the fully graded framework of Fuzzy Class Theory. Its relation to graded notions of fuzzy topology given by open sets and neighborhoods is shown.

– The purpose of this paper is to explore the following issues in depth: is Non-Classical Logic, by any means, useful to Mathematics at all? Do we see any use in any Non-Classical Logic system in the scope of Mathematics? Can one confound Mathematics with, for instance, Fuzzy Logic applications? If NCL is not useful in Mathematics, is it useful, for instance, in Theology at all? Where lies the ...

Ever since the introduction of fuzzy sets by L. A. Zadeh [14], the fuzzy concept has invaded almost all branches of Mathematics. The concept of fuzzy topological space was introduced and developed by C.L. Chang [3] and since then many fuzzy topologists [1,6-13] have extended various notions in classical topology to fuzzy topological spaces. The concept of somewhat continuous functions was intro...

In 1965, in his pioneer paper L.A. Zadeh [9] introduced the concept of fuzzy set to handle the uncertainties in our daily life. After that many generalizations of fuzzy sets are presented, for example, interval valued fuzzy sets [10] and intuitionistic fuzzy sets [1]. Fuzzy sets are extremely useful to solve many problems in applied mathematics, information sciences and theory of automata [2]. ...

Project cost is the main factor contributing to the cost of construction, which accounts for a large proportion of the total investment. So strengthening the management and control of the project cost will be beneficial for the improvement of international competitiveness and conservation of social resource for construction enterprises. The article applies the basic principles of fuzzy mathemat...

In this paper we prove the existence of common fixed points for a pair of self mappings under strict contractive conditions in the settings of a fuzzy metric space.Also we prove a common fixed point theorem for a quadruplet of self mappings in fuzzy metric space. Mathematics Subject Classification: 47H10, 54A40, 54E99

The aim of this paper is to introduce and study a new concept of the fuzzy I− convergent Γ ) (Δ,p) defined by modulus and also some topological properties of the resulting sequence spaces of fuzzy numbers were examined. Mathematics Subject Classification: 40A05, 40C05, 40D05

One of the interesting, important and attractive problems in applied mathematics is how to best approximate a function in a given space. In this paper, the problem of best approximation is considered for fuzzy functions, by optimization to obtain a fuzzy polynomial.

Fuzzy transform is a powerful tool for approximation of continuous functions. The paper aims at constructing approximation models on the basis of a generalization of fuzzy partition. We will prove the best approximation properties in the corresponding approximation spaces. Mathematics Subject Classificaion: 41A30, 41A45

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