Author
Kyung Ho Kim
Bio: Kyung Ho Kim is an academic researcher from Korea National University of Transportation. The author has contributed to research in topics: Fuzzy logic & Fuzzy subalgebra. The author has an hindex of 9, co-authored 44 publications receiving 309 citations.
Papers
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TL;DR: In this article, the notion of equivalence relations on the family of all intuitionistic fuzzy ideals of a BCK-algebra is introduced, and some related properties are investigated.
Abstract: We consider the intuitionistic fuzzification of the concept of subalgebras and ideals in BCK-algebras, and investigate some of their properties. We introduce the notion of equivalence relations on the family of all intuitionistic fuzzy ideals of a BCK-algebra and investigate some related properties.
53 citations
TL;DR: In this paper, the intuitionistic fuzzification of the concept of interior ideals in a semigroup S is considered, and some properties of such ideals are investigated, such as the properties of intuitionistic fuzzy interior ideal preimages.
Abstract: We consider the intuitionistic fuzzification of the concept of interior ideals in a semigroup S, and investigate some properties of such ideals. For any homomorphism f from a semigroup S to a semigroup T ,i fB = (µB ,γ B ) is an intuitionistic fuzzy interior ideal of T , then the preimage f −1 (B) = (f −1 (µB ), f −1 (γB )) of B under f is an intuitionistic
40 citations
TL;DR: Three Isomorphism Theorems of @C-hypernear-rings are established and by using this new idea, the fuzzy hyperideals of@C- hypernear- rings are considered.
Abstract: The concept of @C-hypernear-rings, which is a generalization of @C-near-rings and hypernear-rings, is introduced. Some related properties of @C-hypernear-rings are described. In particular, three Isomorphism Theorems of @C-hypernear-rings are established. By using this new idea, we consider the fuzzy hyperideals of @C-hypernear-rings. Finally, the fundamental relations between @C-hypernear-rings and @C-near-rings are discussed.
26 citations
TL;DR: In this article, the fuzzy points of a semigroup S of fuzzy points are considered and the relation between the fuzzy interior ideals and the subsets of S in an (intra-regular) semiigroup S is discussed.
Abstract: We consider the semigroup S of the fuzzy points of a semigroup S, and discuss the relation between the fuzzy interior ideals and the subsets of S in an (intra-regular) semigroup S
18 citations
TL;DR: The Biswas' idea of anti fuzzy subgroups to ideals of near-rings is applied, and some related properties are investigated.
Abstract: In this paper, we apply the Biswas' idea of anti fuzzy subgroups to ideals of near-rings. We introduce the notion of anti fuzzy ideals of near-rings, and investigate some related properties.
18 citations
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01 Feb 2006
TL;DR: The aim in this paper is to introduce and study the new sort of fuzzy subnear-ring of a near-ring called (∈, ∈ ∨q)-fuzzy sub Near-ring (ideal and prime ideal) which is characterized by their level ideals.
Abstract: Our aim in this paper is to introduce and study the new sort of fuzzy subnear-ring (ideal and prime ideal) of a near-ring called (?, ? ?q)-fuzzy subnear-ring (ideal and prime ideal). These fuzzy subnear-rings (ideals) are characterized by their level ideals. Finally, we give a generalization of (?, ? ?q)-fuzzy subnear-rings (ideals).
176 citations
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TL;DR: The author studies the Smarandache Fuzzy Algebra, which arose from the need to define structures that were more compatible with the real world where the grey areas mattered, not only black or white.
Abstract: The author studies the Smarandache Fuzzy Algebra, which, like its predecessor Fuzzy Algebra, arose from the need to define structures that were more compatible with the real world where the grey areas mattered, not only black or white.
This book has seven chapters, which are divided into two parts. Part I contains the first chapter, and Part II encloses the remaining six chapters. In the first chapter (which also forms the first part), which is subdivided into twelve sections, we deal with eleven distinct fuzzy algebraic concepts and in the concluding section list the miscellaneous properties of fuzzy algebra. The eleven fuzzy algebraic concepts which we analyze are fuzzy sets, fuzzy subgroups, fuzzy sub-bigroups, fuzzy rings, fuzzy birings, fuzzy fields, fuzzy semirings, fuzzy near-rings, fuzzy vector spaces, fuzzy semigroups and fuzzy half-groupoids. The results used in these sections are extensive and we have succeeded in presenting new concepts defined by several researchers.
84 citations
TL;DR: This survey article introduces the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set, and considers the interval valued (@?,@?@?q)-fuzzy sub-hypernear-rings (hyperideals) of a hypernear-ring, and hence, a generalization of a fuzzier sub-near- ring (ideal) is given.
Abstract: In this survey article, we first introduce the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. This concept is a generalized concept of quasi-coincidence of a fuzzy point within a fuzzy set. By using this new idea, we consider the interval valued (@?,@?@?q)-fuzzy sub-hypernear-rings (hyperideals) of a hypernear-ring, and hence, a generalization of a fuzzy sub-near-ring (ideal) is given. Some related properties of fuzzy hypernear-rings are described. Finally, we consider the concept of implication-based interval valued fuzzy sub-hypernear-rings (hyperideals) in a hypernear-ring, in particular, the implication operators in Lukasiewicz system of continuous-valued logic are discussed.
82 citations
TL;DR: A novel fuzzy clustering algorithm for GDA application is proposed, based on recent results regarding intuitionistic fuzzy sets and the possibilistic fuzzy C-means, that aims at overcoming some of the limitations of the existing methods.
Abstract: Highlights? We proposed a novel fuzzy clustering method for geo-demographic analysis. ? We showed some theorems and properties of this method. ? We validated it through extensive experimentation using the real-world datasets. ? Results showed that our method outperforms some of the best-known approaches. Geo-Demographic Analysis (GDA) is an important tool to explore the underlying rules that regulate our world, and therefore, it has been widely applied to the development of effective socio-economic policies through the analysis of data generated from Geographic Information Systems (GIS). In GDA applications, clustering plays a major role however, the current state-of-the-art algorithms, namely the Fuzzy Geographically Weighted Clustering (FGWC), have demonstrated several limitations both in terms of speed and in terms of quality of the achieved results. Accordingly, in this paper, we propose a novel clustering algorithm for GDA application, based on recent results regarding intuitionistic fuzzy sets and the possibilistic fuzzy C-means, that aims at overcoming some of the limitations of the existing methods.
79 citations
TL;DR: More general form of the notion of quasi-coincidence of a fuzzy point with a fuzzy set is considered, and generalizations of results in the papers are discussed.
Abstract: More general form of the notion of quasi-coincidence of a fuzzy point with a fuzzy set is considered, and generalizations of results in the papers [Y. B. Jun, On (@a,@b)-fuzzy subalgebras of BCK/BCI-algebras, Bull. Korean Math. Soc. 42 (4) (2005) 703-711; Y. B. Jun, Fuzzy subalgebras of type (@a,@b) in BCK/BCI-algebras, Kyungpook Math. J. 47 (2007) 403-410] are discussed. The notions of (@?,q"k)-fuzzy subalgebras and (@?,@[email protected]?q"k)-fuzzy subalgebras in a BCK/BCI-algebra X are introduced, and several properties are investigated. Characterizations of (@?,@[email protected]?q"k)-fuzzy subalgebra in a BCK/BCI-algebra X are discussed.
64 citations