On n-dimensional Fuzzy Ideals of Semigroups
نویسندگان
چکیده
After the introduction of fuzzy set by Zadeh in 1965 [1], there have been a number of generalizations of this fundamental concept. In 1967, Goguen [2] proposed the concept of L-fuzzy set. The idea of interval valued fuzzy set is given by Zadeh in 1975 [3]. Type 2 fuzzy sets were poposed by Zadeh in [4]. Attanasove introduced intuitionistic fuzzy sets in 1986 [5]. Interval valued intuitionistic fuzzy sets are introduced by Attanasove in 1989 [6]. The three dimensional fuzzy sets are introduced by Li et al. in [7]. In 2010, Shang et al. introduced n-dimensional fuzzy sets [8]. On the other hand Kuroki initiated the study of fuzzy semigroup in [9]. Kim and Jun in [10] introduced the intuitionistic fuzzy ideals in semigroups. Different authors studied different types of fuzzy ideals in semigroups [11-13]. In this paper we are initiating the study of n-dimensional fuzzy ideals in semigroups.
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