Inverse int-fuzzy soft bi-ideals over semigroups
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In this paper, we define inverse int-soft bi-ideals, inverse int-fuzzy soft bi-ideals over a semigroup and give some of their properties. Also, we introduce inverse int-prime fuzzy soft bi-ideals, inverse int-strongly prime fuzzy soft bi-ideals and inverse int-semiprime fuzzy soft bi-ideals over the semigroup. Moreover, we show that the images of inverse int-fuzzy soft bi-ideals over semigroups are the inverse int-fuzzy soft bi-ideals over semigroups under some conditions.
Abstract
In this paper, we define inverse int-soft bi-ideals, inverse int-fuzzy soft bi-ideals over a semigroup and give some of their properties. Also, we introduce inverse int-prime fuzzy soft bi-ideals, inverse int-strongly prime fuzzy soft bi-ideals and inverse int-semiprime fuzzy soft bi-ideals over the semigroup. Moreover, we show that the images of inverse int-fuzzy soft bi-ideals over semigroups are the inverse int-fuzzy soft bi-ideals over semigroups under some conditions.
참고문헌 (25)
- H. Aktas, "Soft sets and soft groups", Inform. Sci, 177, pp.2726~2735 (2007)
- K. Atanassov, "Intuitionistic fuzzy sets", Fuzzy sets and Systems, 20, pp.87~96 (1986)
- A. Aygunoglu, "Introduction to fuzzy soft groups", Comput. Math. Appl, 58, pp.1279~1286 (2009)
- N. C. agman, "FP-soft set theory and its applications", Ann. Fuzzy Math. Inform, 2(2), pp.219~226 (2011)
- N. C. agman, "Fuzzy soft set theory and its applications", Iran. J. Fuzzy Syst, 8(3), pp.137~147 (2011)
- V. C etkin, "A new approach in handling soft decision making problems", J. Nonlinear Sci. Appl, 9, pp.231~239 (2016)
- M. B. Gorzalzany, "A method of inference in approximate reasoning based on interval-valued fuzzy sets", Fuzzy sets and Systems, 21, pp.1~17 (1987)
- J. M. Howie, "An Introduction to Semigroup Theory" (1976), Acad. Press
- A. M. Khalil, "Inverse fuzzy soft set and its application in decision making", Int. J. Inform. Decis. Sci, 11(1), pp.73~92 (2019)
- N. Kuroki, "On fuzzy ideals and fuzzy bi-ideals in semigroups", Fuzzy sets and Systems, 5, pp.203~215 (1981)
- P. K. Maji, "Fuzzy soft set", J. Fuzzy Math, 9(3), pp.589~602 (2001)
- P. K. Maji, "An application of soft sets in a decision making problem", Comput. Math. Appl, 44, pp.1077~1083 (2002)
- P. K. Maji, "Soft set theory", Comput. Math. Appl, 45, pp.555~562 (2003)
- D. Molodtsov, "Soft set theory-First results", Comput. Math. Appl, 37, pp.19~31 (1999)
- J. N. Mordeson, "Fuzzy Semigroups" (2010), Springer-Verlag
- M. Naz, "On fuzzy soft semigroups", World Appl. Sci. J. (Special Issue of Applied Math), 22, pp.62~83 (2003)
- T.J. Neog, "On union and intersection of fuzzy soft set", Int. J. Comput. Tech. Appl, 2(5), pp.1160~1176 (2011)
- Z. Pawlak, "Rough sets", Int. J. Inf. Comput. Sci, 11, pp.341~356 (1982)
- M. Shabir, "prime fuzzy bi-ideals of semigroups", Iran. J. Fuzzy Syst, 7(3), pp.115~128 (2010)
- M. Siripitukdet, "On fuzzy soft bi-ideals over semigroups", Songkl. J. Sci. Tech, 37(5), pp.237~249 (2015)
- S. Z. Song, "Ideal theory in semigroups based on inter sectional soft sets", The Sci. World J. Article ID, 136424, pp.1~7 (2014)
- P. Suebsan, "Inverse int-fuzzy soft (left, right) ideals over semigroups", Submitted
- P. Suebsan, "The mapping on classes of fuzzy soft bi-ideals over semigroups", Azerb. J. Math, 8(2), pp.43~59 (2018)
- C. F. Yang, "Fuzzy soft semigroups and fuzzy soft ideals, Comput. Math. Appl. 44 (2011) 255-261", Comput. Math. Appl, 44, pp.255~261 (2011)
- L. A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)
