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Rough fuzzy sets via multifunction

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초록

This paper aims at providing a framework to combine fuzzy sets and rough sets together via multifunction, which gives rise to several interesting new concepts such as rough sets, rough fuzzy sets via multifunction and some properties of them. Although many results reported here are only concerned with basic properties about these new notions, one could see that this study presents a very preliminary, but potentially interesting research direction.

Abstract

This paper aims at providing a framework to combine fuzzy sets and rough sets together via multifunction, which gives rise to several interesting new concepts such as rough sets, rough fuzzy sets via multifunction and some properties of them. Although many results reported here are only concerned with basic properties about these new notions, one could see that this study presents a very preliminary, but potentially interesting research direction.

참고문헌 (8)

  1. M. Y. Bakeir, "Rough topology via multifunction", Mathe-matical Sciences Letters, 7(1), pp.1~4 (2018)
  2. B. Davvaz, "A short note on algebraic T-rough sets", Inform. Sci, 178, pp.3247~3252 (2008)
  3. D. Dubois, "Rough fuzzy sets and fuzzy rough sets", Int. J. Gen. Syst, 17, pp.191~208 (1990)
  4. Feng Feng, "Soft sets combined with fuzzy sets and rough sets: a tentative approach", Soft Comput, 14, pp.899~911 (2010)
  5. P. Maritz, "Topological rough sets in terms of multifunctions", Galsnik Mathe-maticki, 31(51), pp.159~178 (1996)
  6. Z. Pawlak, "Rough sets", International Journal of Computer and Information Sciences, 11, pp.341~356 (1982)
  7. R. Slowinski, "Rough fuzzy hybridization: a new trend in decision-making", pp.301~315 (1999), Springer
  8. L. A. Zadeh, "Fuzzy sets", Information and Control, 8(3), pp.338~353 (1965)

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