Implicative soft ideals and implicative idealistic soft BCK-algebras
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Molodtsov [5] 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 an implicative ideal of BCK-algebras. The notion of implicative soft ideals in BCK-algebras and implicative idealistic soft BCK-algebras is introduced, and related properties are investigated. Relations between implicative soft ideals and commutative (resp. positive implicative) soft ideals are discussed. Also, relations between implicative idealistic soft BCK-algebras and commutative (resp. positive implicative) idealistic soft BCK-algebras are provided.
Abstract
Molodtsov [5] 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 an implicative ideal of BCK-algebras. The notion of implicative soft ideals in BCK-algebras and implicative idealistic soft BCK-algebras is introduced, and related properties are investigated. Relations between implicative soft ideals and commutative (resp. positive implicative) soft ideals are discussed. Also, relations between implicative idealistic soft BCK-algebras and commutative (resp. positive implicative) idealistic soft BCK-algebras are provided.
참고문헌 (5)
- D. Chen, "The parameterization reduction of soft sets and its applications", Comput. Math. Appl, 49(5), pp.757~763 (2005)
- P. K. Maji, "Soft set theory", Comput. Math. Appl, 45(4), pp.555~562 (2003)
- P. K. Maji, "An application of soft sets in a decision making problem", Comput. Math. Appl, 44(8), pp.1077~1083 (2002)
- J. Meng, "BCK-algebras" (1994), Kyungmoon Sa Co
- D. Molodtsov, "Soft set theory| rst results", Comput. Math. Appl, 37(4), pp.19~31 (1999)