Soft PMS-algebras
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In this paper, the concepts of soft PMS-algebras, soft PMS-subalgebras, soft PMS-ideals, and idealistic soft PMS-algebras are introduced, and their properties are studied. The restricted intersection, the extended intersection, union, AND operation, and the cartesian product of soft PMS-algebras, soft PMS-subalgebras, soft PMS-ideals, and idealistic soft PMS-algebras are established. Moreover, the homomorphic image and homomorphic pre-image of soft PMS-algebras are also studied.
Abstract
In this paper, the concepts of soft PMS-algebras, soft PMS-subalgebras, soft PMS-ideals, and idealistic soft PMS-algebras are introduced, and their properties are studied. The restricted intersection, the extended intersection, union, AND operation, and the cartesian product of soft PMS-algebras, soft PMS-subalgebras, soft PMS-ideals, and idealistic soft PMS-algebras are established. Moreover, the homomorphic image and homomorphic pre-image of soft PMS-algebras are also studied.
참고문헌 (15)
- U. Acar, "Soft sets and soft rings", Comput. Math. Appl, 59, pp.3458~3463 (2010)
- H. Akta¸s, "Soft sets and soft groups", Inform. Sci, 177, pp.2726~2735 (2007)
- F. Feng, "Soft semirings", Comput. Math. Appl, 56, pp.2621~2628 (2008)
- M. Irfan Ali, "On some new operations in soft sets theory", Computers and mathematics with Applications, 57, pp.1547~1553 (2009)
- K. Iseki, "On BCI-algebras", Math. Seminar Notes, 8, pp.125~130 (1980)
- K. Iseki, "An introduction to the theory of BCK-algebras", Math. Jpn, 23, pp.1~26 (1978)
- Y. B. Jun, "Soft BCK", BCI-algebras, 2008, pp.57, 1408~1413
- Y. B. Jun, "Soft p-ideals of soft BCI-algebras", Comput. Math. Appl, 58, pp.2060~2068 (2009)
- Y. B. Jun, "Applications of soft sets in ideal theory of BCK", BCI-algebras, 2008, pp.178, 2466~2475
- P. K. Maji, "Soft set theory", Comput. Math. Appl, 45, pp.555~562 (2003)
- P. K. Maji, "An application of soft sets in a decision making problem", Comput. Math. Appl, 44, pp.1077~1083 (2002)
- D. Molodtsov, "Soft set theory-First results", Comput. Math. Appl, 37, pp.19~31 (1999)
- P. M. Sithar Selvam, "Fuzzy PMS-ideals in PMS-algebras, Annals", Annals of Pure and Applied Mathematics, 12(2), pp.153~159 (2016)
- P. M. Sithar Selvam, "On PMS-algebras", Transylvanian Review, 24, pp.1622~1628 (2016)
- Qiu-Mei Sun, "Soft sets and soft modules", Lecture Notes in Comput. Sci, 5009, pp.403~409 (2008)
