Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 김희식 | - |
dc.contributor.author | 강민수 | - |
dc.date.accessioned | 2020-04-01T17:05:33Z | - |
dc.date.available | 2020-04-01T17:05:33Z | - |
dc.date.issued | 2010-02 | - |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/142702 | - |
dc.identifier.uri | http://hanyang.dcollection.net/common/orgView/200000413357 | en_US |
dc.description.abstract | Using the notion of bipolar-valued fuzzy sets, the concepts of bipolar fuzzy (weak, -weak, strong) hyper -ideals are introduced, and their relations are discussed. Moreover, several related properties are investigated. Bipolar-valued fuzzification of the notion of implicative hyper -ideals is considered. Using the concepts of positive and negative level sets, a characterization of a bipolar fuzzy implicative hyper -ideal is provided. A relation between a bipolar fuzzy hyper -ideal and a bipolar fuzzy implicative hyper -ideal is established. A condition for a bipolar fuzzy hyper -ideal to be a bipolar fuzzy implicative hyper -ideal is given. By using a collection of implicative hyper -ideals, a bipolar fuzzy implicative hyper -ideal is established. The notions of (weak) hyper -deductive systems and (weak) implicative hyper -deductive systems are introduced, and several properties are investigated. Relations among hyper -deductive systems, weak hyper -deductive systems, implicative hyper -deductive systems and weak implicative hyper -deductive systems are discussed. A characterization of a hyper -deductive system is provided. A condition for a weak hyper -deductive system to be a weak implicative hyper -deductive system is given. The notions of fuzzy hyper -subalgebras, (weak, strong) fuzzy hyper -deductive systems and previously weak fuzzy hyper -deductive systems are introduced, and their relations/properties are investigated. We apply the notion of soft sets introduced by Molodtsov to the theory of -algebras. Soft -subalgebras and homomorphisms in soft -algebras are discussed. | - |
dc.publisher | 한양대학교 | - |
dc.title | 각종 대수에서의 하이퍼 및 소프트집합 이론의 응용에 관한 연구 | - |
dc.title.alternative | Some Applications of Hyper and Soft Set Theory to Several Algebras | - |
dc.type | Theses | - |
dc.contributor.googleauthor | 강민수 | - |
dc.contributor.alternativeauthor | Min Su Kang | - |
dc.sector.campus | S | - |
dc.sector.daehak | 대학원 | - |
dc.sector.department | 수학과 | - |
dc.description.degree | Doctor | - |
dc.contributor.affiliation | 대수학 | - |
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