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Remarks on interval-valued fuzzy minimal precontinuous mappings and interval-valued fuzzy minimal preopen mappings

김명환|민원근
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2009.09|한국수학논문집 (Korean Journal of Mathematics)|제17권 제3호|pp. 249-255

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키워드

interval-valued fuzzy minimal spacesIVF m-preopen setsIVF m-precontinuousIVF m-preopen mapping
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초록

In [5], we introduced the concepts of IVF m-preopen sets and IVF m-precontinuous mappings on interval-valued fuzzy minimal spaces. In this paper, we introduce the concept of IVF m-preopen mapping and investigate characterizations for IVF m-precontinuous mappings and IVF m-preopen mappings.

Abstract

In [5], we introduced the concepts of IVF m-preopen sets and IVF m-precontinuous mappings on interval-valued fuzzy minimal spaces. In this paper, we introduce the concept of IVF m-preopen mapping and investigate characterizations for IVF m-precontinuous mappings and IVF m-preopen mappings.

참고문헌 (7)

  1. K. T. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and System, 20(1), pp.87~96 (1986)
  2. M. Alimohammady, "Fuzzy minimal structure and fuzzy minimal vector spaces", Chaos,Solutions and Fractals, 27, pp.599~605 (2006)
  3. M. B. Gorzalczany, "A method of inference in approximate reasoning based on interval-valued fuzzy sets", Fuzzy Sets and Systems, 21, pp.1~17 (1987)
  4. 민원근, "Interval-Valued Fuzzy Minimal Structures and Interval-Valued Fuzzy Minimal Spaces", International Journal of Fuzzy Logic and Intelligent systems, 8(3), pp.202~206 (2008), 한국지능시스템학회
  5. 민원근, "INTERVAL-VALUED FUZZY m-SEMIOPEN SETS AND INTERVAL-VALUED FUZZY m-PREOPEN SETS ON INTERVAL-VALUED FUZZY MINIMAL SPACES", 호남수학학술지, 31(1), pp.31~43 (2009), 호남수학회
  6. T. K. Mondal, "Topology of interval-valued fuzzy sets", Indian J. Pure Appl. Math., 30(1), pp.23~38 (1999)
  7. L. A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)

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