Regularity of fuzzy convergence spaces

Lingqiang Li; Qiu Jin; Yao Bing-xue

doi:10.1515/math-2018-0118

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Regularity of fuzzy convergence spaces

Lingqiang Li Qiu Jin Yao Bing-xue

Year: 2018 Journal: Open Mathematics Vol: 16 (1)Pages: 1455-1465 Publisher: De Gruyter Open

DOI: 10.1515/math-2018-0118

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Abstract

Abstract (Fuzzy) convergence spaces are extensions of (fuzzy) topological spaces. ⊤-convergence spaces are one of important fuzzy convergence spaces. In this paper, we present an extending dual Fischer diagonal condition, and making use of this we discuss a regularity of ⊤-convergence spaces.

Keywords:

Mathematics Convergence (economics) Modes of convergence (annotated index) Compact convergence Fuzzy logic Diagonal Topological space Dual (grammatical number) Pure mathematics Normal convergence Algebra over a field Topology (electrical circuits) Topological vector space Rate of convergence Computer science Combinatorics Artificial intelligence Geometry Isolated point

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Fuzzy and Soft Set Theory

Social Sciences → Decision Sciences → Management Science and Operations Research

Advanced Algebra and Logic

Physical Sciences → Computer Science → Computational Theory and Mathematics

Rough Sets and Fuzzy Logic

Physical Sciences → Computer Science → Computational Theory and Mathematics

Regularity of fuzzy convergence spaces

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