On fuzzy inclusion in the interval-valued sense

  • Authors:

  • Jin Han Park;Jong Seo Park;Young Chel Kwun

  • Affiliations:

  • Division of Math. Sci., Pukyong National University, Pusan, South Korea;Department of Math. Education, Chinju National Universuty of Education, Chinju, South Korea;Department of Mathematics, Dong-A University, Pusan, South Korea

  • Venue:
  • FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part I
  • Year:
  • 2005

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Abstract

As a generalization of fuzzy sets, the concept of interval-valued fuzzy sets was introduced by Gorzalczany [Fuzzy Sets and Systems 21 (1987) 1]. In this paper, we shall extend the concept of “fuzzy inclusion”, introduced by Šostak [Supp. Rend. Circ. Mat. Palermo (Ser. II) 11 (1985) 89], to the interval-valued fuzzy setting and study its fundamental properties for some extent.