Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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IMPLICATIVE SOFT IDEALS AND IMPLICATIVE IDEALISTIC SOFT BCK-ALGEBRAS

  • Lee, Kyoung-Ja (Department of Mathematics Education Hannam University) ;
  • Jun, Young-Bae (Department of Mathematics Education (and RINS) Gyeongsang National University) ;
  • Park, Chul-Hwan (School of Digital, Mechanics Ulsan College)
  • Received : 2010.02.19
  • Published : 2011.04.30
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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.

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References

  1. D. Chen, E. C. C. Tsang, D. S. Yeung, and X. Wang, The parameterization reduction of soft sets and its applications, Comput. Math. Appl. 49 (2005), no. 5-6, 757-763. https://doi.org/10.1016/j.camwa.2004.10.036
  2. P. K. Maji, R. Biswas, and A. R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003), no. 4-5, 555-562. https://doi.org/10.1016/S0898-1221(03)00016-6
  3. P. K. Maji, A. R. Roy, and R. Biswas, An application of soft sets in a decision making problem, Comput. Math. Appl. 44 (2002), no. 8-9, 1077-1083. https://doi.org/10.1016/S0898-1221(02)00216-X
  4. J. Meng and Y. B. Jun, BCK-algebras, Kyungmoon Sa Co. Seoul, 1994.
  5. D. Molodtsov, Soft set theory-first results, Comput. Math. Appl. 37 (1999), no. 4-5, 19-31. https://doi.org/10.1016/S0898-1221(99)00056-5