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Positive Implicative Ideals of BCK-Algebras Based on a Soft Set Theory
- Title
- Positive Implicative Ideals of BCK-Algebras Based on a Soft Set Theory
- Author
- 김희식
- Keywords
- (Positive implicative) ideal; soft BCK-algebra; (positive implicative) idealistic soft BCK-algebra; positive implicative soft ideal
- Issue Date
- 2011-08
- Publisher
- MALAYSIAN MATHEMATICAL SCIENCES SOC, UNIV SAINS MALAYSIA, SCH MATHEMATICAL SCIENCES, PULAU PINANG, 11800 USM, MALAYSIA
- Citation
- Bulletin of the Malaysian Mathematical Sciences Society. 2011, Vol. 34, Issue 2, p345-354
- Abstract
- Molodtsov [8] 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-algebras. The notions of positive implicative soft ideals and positive implicative idealistic soft BCK-algebras are introduced, and their basic properties are derived.
- URI
- http://eds.b.ebscohost.com/eds/detail/detail?vid=0&sid=75f0e70d-fa0d-40da-9928-85ef837ef4c5%40sessionmgr120&bdata=Jmxhbmc9a28mc2l0ZT1lZHMtbGl2ZQ%3d%3d#AN=82913536&db=a9hhttp://hdl.handle.net/20.500.11754/37832
- ISSN
- 0126-6705
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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