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Seok Zun Song

Bio: Seok Zun Song is an academic researcher from Jeju National University. The author has contributed to research in topics: Fuzzy logic & Fuzzy subalgebra. The author has an hindex of 9, co-authored 38 publications receiving 473 citations.

Papers
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Journal ArticleDOI
TL;DR: Using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concept of an (@a,@b)-fuzzy interior ideal is introduced, which is a generalization of a warm interior ideal, in a semigroup, and related properties are investigated.

148 citations

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TL;DR: The fuzzy setting of a left h-ideal in a hemiring is constructed, and basic properties are investigated.

111 citations

Journal ArticleDOI
TL;DR: The notion of a BCK-valued function on a set is introduced, and related properties are investigated, and codes generated by BCk-valued functions are established.

33 citations

DOI
01 Sep 2008
TL;DR: The notions of bipolar fuzzy subalgebras and bipolar fuzzy closed ideals in BCH-algeBRas are introduced, and related properties are investigated.
Abstract: The notions of bipolar fuzzy subalgebras and bipolar fuzzy closed ideals in BCH-algebras are introduced, and related properties are investigated. Relations between a bipolar fuzzy subalgebra and a bipolar fuzzy closed ideal are considered. Conditions for a bipolar fuzzy subalgebra to be a bipolar fuzzy closed ideal are provided. Characterizations of a bipolar fuzzy closed ideal are discussed.

27 citations

Journal ArticleDOI
TL;DR: The first author would like to acknowledge financial support for this work, from the Deanship of Scientific Research (DRS), University of Tabuk,Tabuk, Saudi Arabia, under grant no.
Abstract: The first author would like to acknowledge financial support for this work, from the Deanship of Scientific Research (DRS), University of Tabuk, Tabuk, Saudi Arabia, under grant no. S/0123/1436.

25 citations


Cited by
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Journal ArticleDOI
TL;DR: This paper initiates the study of soft semirings by using the soft set theory, and the notions of soft Semirings, soft subsemirings,soft ideals, idealistic softSemirings and soft semiring homomorphisms are introduced, and several related properties are investigated.
Abstract: Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft semirings by using the soft set theory. The notions of soft semirings, soft subsemirings, soft ideals, idealistic soft semirings and soft semiring homomorphisms are introduced, and several related properties are investigated.

579 citations

Journal ArticleDOI
TL;DR: This paper applies the notion of soft sets by Molodtsov to the theory of BCK/BCI-algebras and soft subalgeBRas, and their basic properties are derived.
Abstract: Molodtsov [D. Molodtsov, Soft set theory - First results, Comput. Math. Appl. 37 (1999) 19-31] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to the theory of BCK/BCI-algebras. The notion of soft BCK/BCI-algebras and soft subalgebras are introduced, and their basic properties are derived.

429 citations

Journal ArticleDOI
TL;DR: The intersection, union, ''AND'' operation, and ''OR'' operation of soft ideals and idealistic soft BCK/BCI-algebras are established.

387 citations

Journal ArticleDOI
01 May 2017
TL;DR: The concept of soft rough hemirings is introduced, which is an extended notion of a rough hemiring, which provides a new research idea for soft rough algebraic research.
Abstract: Graphical abstractDisplay Omitted In this paper, we investigate the relationships among rough sets, soft sets and hemirings. The concept of soft rough hemirings is introduced, which is an extended notion of a rough hemiring. It is pointed out that in this paper, we first apply soft rough sets to algebraic structure-hemirings. Further, we first put forward the concepts of C-soft sets and CC-soft sets, which provide a new research idea for soft rough algebraic research. Moreover, we study roughness in hemirings with respect to MSR-approximation spaces. Some new soft rough operations over hemirings are explored. In particular, lower and upper MSR-hemirings (k-ideal and h-ideal) are investigated. Finally, we put forth an approach for multicriteria group decision making problem based on modified soft rough sets and offer an actual example.

158 citations

Journal ArticleDOI
TL;DR: This paper gives characterizations of (fuzzy) p-ideals in BCI-algebras, and provides relations between fuzzy p-Ideals and p-IDEalistic soft BCK/BCI- algebrs.
Abstract: Molodtsov [D. Molodtsov, Soft set theory-First results, Comput. Math. Appl. 37 (1999) 19-31] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. Jun [Y. B. Jun, Soft BCK/BCI-algebras, Comput. Math. Appl. 56 (2008) 1408-1413] applied first the notion of soft sets by Molodtsov to the theory of BCK/BCI-algebras. In this paper we introduce the notion of soft p-ideals and p-idealistic soft BCI-algebras, and then investigate their basic properties. Using soft sets, we give characterizations of (fuzzy) p-ideals in BCI-algebras. We provide relations between fuzzy p-ideals and p-idealistic soft BCI-algebras.

138 citations