Fuzzy r-Pre-semineighborhoods and Fuzzy r-Pre-semicontinuous Maps

  • Lee, Seok-Jong (Department of Mathematics, Chungbuk National University) ;
  • Eoum, Youn-Suk (Department of Mathematics, Chungbuk National University)
  • Published : 2001.06.01

Abstract

In this paper, we introduce the concepts of fuzzy r-pre-semiopen and r-pre-semiclosed sets. With them we define fuzzy r-pre-semiinterior and r-pre-semiclosure. We also introduce and investigate the properties of a fuzzy r-pre-semicontinuous map, a fuzzy r-pre-semiopen map and a fuzzy r-pre-semiclosed map. These concepts are generalizations of the Bai Shi-Zhongs fuzzy pre-semicontinuity.

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