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In this paper, we introduce and study the notion of weakly fuzzy semi-I-open sets and weakly fuzzy semi-I-continuous functions to obtain a decomposition of fuzzy continuity. We also investigate the fundamental properties of such functions.
The convergence theory not only is a significantly basic theory of fuzzy topology and fuzzy analysis but also has wide applications in fuzzy inference and some other aspects. In this paper, we introduce the concept of GF-remote-neighborhood of fuzzy points and establish the Moore-Smith GF-convergence theory of L-fuzzy nets. Then, we introduce and study the concept of L-fuzzy GF-irresolute mappings.
To make D-S evidence theory manage imprecise and fuzzy information effectively in evidential reasoning, a novel generalization method of evidence theory to fuzzy sets is proposed. In the method, it discards the max and min operators in previous generalization methods based on fuzzy inclusion measure, and the distance measure of fuzzy sets is introduced to calculate the contribution of one fuzzy focal...
In this paper, we introduce and study the notion of fuzzy b-I-open sets, which is properly placed between fuzzy openness and fuzzy b-openness regardless the fuzzy topological ideal. We deduce some characterization theorems for such concepts exactly analogous to general topology. And we define the notion of fuzzy b-I-continuous function via fuzzy b-I-open sets and some of its properties are investigated...
The convergence theory not only is a significantly basic theory of fuzzy topology and fuzzy analysis but also has wide applications in fuzzy inference and some other aspects. In this paper, the β-convergence theory of L-fuzzy ideals is explored by the concept of β-remote-neighborhood, and the relationships of L-fuzzy ideals and L-fuzzy nets are discussed. In addition, some properties of the notions...
In this paper, we introduce notions of fuzzy delta-I-open Sets and fuzzy delta-I-continuous functions in fuzzy ideal topological spaces and investigate some of their properties. Additionally, we obtain a decomposition of fuzzy semi-I-continuous functions and alpha-I-Continuous functions by using fuzzy delta-I-continuous functions.
The convergence theory is a basic theory of fuzzy topology and fuzzy analysis. In this paper we introduce the notions of fuzzy Q-upper limit, fuzzy Q-lower limit and the fuzzy Q-convergent nets of fuzzy sets. We also study the properties of fuzzy Q-upper limit, fuzzy Q-lower limit and the fuzzy Q-convergent nets of fuzzy sets.
The convergence theory is a basic theory of fuzzy topology and fuzzy analysis. In this paper we introduce the notions of fuzzy SP-upper limit, fuzzy SP-lower limit and the fuzzy SP-convergent nets of fuzzy sets. We also study the properties of fuzzy SP-upper limit, fuzzy SP-lower limit and the fuzzy SP-convergent nets of fuzzy sets.
The convergence theory is a basic theory of fuzzy mathematics and have very important applications in economics, management science, information technology and computer science. In this paper we introduce the notions of fuzzy PS-upper limit, fuzzy PS-lower limit and the fuzzy PS-convergent nets of fuzzy sets. We also study the properties of fuzzy PS-upper limit, fuzzy PS-lower limit and the fuzzy...
In this paper, a kind of new fg-compactness is introduced in L-fuzzy topological spaces, where L is a fuzzy lattice. And its topological properties are systematically studied. This new fg-compactness is defined for arbitrary L-subsets. The intersection of a fg-compact L-fuzzy subset and a gf-closed L-fuzzy subset is fg-compact. This new fg-compactness is a good extension. Besides, different characterizations...
The convergence theory not only is a significantly basic theory of fuzzy topology and fuzzy analysis but also has wide applications in fuzzy inference and some other aspects. In this paper, the present author introduces the concept of ??-remoted neighborhood of fuzzy points, establishes the Moore-Smith ??-convergence theory of L-fuzzy net and discusses the applications of ??-convergence of L-fuzzy...
The convergence theory not only is a significantly basic theory of fuzzy topology and fuzzy analysis but also has wide applications in fuzzy inference and some other aspects. In this paper we introduce the notions of fuzzy beta-upper limit, fuzzy beta-lower limit and the fuzzy beta-convergent nets of fuzzy sets. We also study the properties of fuzzy beta-upper limit, fuzzy beta-lower limit and the...
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