IJPAM: Volume 107, No. 1 (2016)
INDUCED BY -FUZZY INTERIOR SPACES
Department of Applied Mathematics
Pai Chai University
Dae Jeon, 302-735, KOREA
Department of Mathematics
Gangneung, Gangwondo, 210-702, KOREA
Abstract. In this paper, we introduce the notions of -fuzzy quasi-uniformities and -fuzzy interior operators in complete residuated lattices. We investigate the -fuzzy quasi-uniformities induced by -fuzzy interior operators. We study the relationships between -fuzzy interior operators and -fuzzy quasi-uniformities. We give their examples.
Received: November 11, 2015
AMS Subject Classification: 03E72, 06A15, 06F07, 54F05
Key Words and Phrases: complete residuated lattices, -fuzzy interior operators, -fuzzy quasi-uniformities, - interior map, -uniformly continuous
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DOI: 10.12732/ijpam.v107i1.19 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 267 - 278
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