Some operations of anti-intuitionistic L-fuzzy soft b-ideals of BG-algebras
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In the present paper, the notion of anti-intuitionistic $L$-fuzzy soft set is applied to the $b$-ideals of $BG$-algebras. In fact, the notions of anti-intuitionistic $L$-fuzzy soft $b$-ideals of $BG$-algebras are introduced and their related properties are studied. Furthermore, some operations of anti-intuitionistic $L$-fuzzy soft $b$-ideals of $BG$-algebras are investigated. Finally, the products of anti-intuitionistic $L$-fuzzy soft $b$-ideals are discussed.
Abstract
In the present paper, the notion of anti-intuitionistic $L$-fuzzy soft set is applied to the $b$-ideals of $BG$-algebras. In fact, the notions of anti-intuitionistic $L$-fuzzy soft $b$-ideals of $BG$-algebras are introduced and their related properties are studied. Furthermore, some operations of anti-intuitionistic $L$-fuzzy soft $b$-ideals of $BG$-algebras are investigated. Finally, the products of anti-intuitionistic $L$-fuzzy soft $b$-ideals are discussed.
참고문헌 (32)
- Abdullah M. Al-roqi, "Normal Unisoft Filters in R0-algebras", Cogent Mathematics, 1(4), pp.1~9 (2017)
- 안선신, "Fuzzy Subalgebras of $BG$-algebras", 대한수학회논문집, 19(2), pp.243~251 (2004), 대한수학회
- K. T. Atanassov, "Intuitionistic fuzzy sets., Rep. No. 1697", 84, 1983
- K. T. Atanassov, "Intuitionistic Fuzzy Sets: Theory and Applications" (1999), Physica-Verlag
- K. T. Atanassov, "Intuitionistic L-fuzzy sets", Cybern. Syst. Res, 2, pp.539~540 (1984)
- M. Balamurugan, "Intuitionistic fuzzy soft ideals in BCK", BCI-algebras, 2019, pp.16(2), 496~503
- S. R. Barbhuiya, "(α, β)-Doubt fuuzy ideals of BG-algebra", International Journal of Advances in Mathematics, 1, pp.83~94 (2018)
- T. Bej, "Doubt intuitionistic fuzzy H-ideals in BCK", BCI-algebras, 2014, pp.8(4), 593~605
- T. Bej, "Doubt intuitionistic fuzzy ideals in BCK", BCI-algebras, 2015, pp.5(1), 1~13
- M. Bhowmik, "Intuitionistic L-fuzzy ideals of BG-algebras", Afr. Mat, 25(3), pp.577~590 (2014)
- M. Chandramouleeswaran, "On intuittionistic L-fuzzy subalgebras of BG-algebras", Int. Math. Forum, 5(17-20), pp.995~1000 (2010)
- J. A. Goguen, "L-fuzzy sets", J. Math. Anal. Appl, 18(1), pp.145~174 (1967)
- A. G. Hatzimichailidis, "L-fuzzy sets and intuitionistic fuzzy sets", Studies in Computational Intelligence, 67, pp.325~339 (2007)
- K. Iseki, "Ideal theory of BCK-algebras", Math. Japon, 21(4), pp.351~366 (1976)
- Y. B. Jun, "Doubt fuzzy BCK", BCI-algebras, 1994, pp.20(3), 351~358
- Y. B. Jun, "Soft BCK", BCI-algebras, 2008, pp.56(5), 1408~1413
- Y. B. Jun, "Fuzzy soft set theory applied to BCK", BCI-algebras, 2010, pp.59(9), 3180~3192
- Y. B. Jun, "Soft p-ideals of soft BCI-algebras", Comput. Math. Appl, 58(10), pp.2060~2068 (2009)
- Y. B. Jun, "Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups", The Scientific World Journal, 2014, pp.1~11 (2014)
- C. B. Kim, "On BG-algebras", Demonstr. Math, 41(3), pp.497~505 (2008)
- P. K. Maji, "Fuzzy soft sets", J. Fuzzy Math, 9(3), pp.589~602 (2001)
- P. K. Maji, "More on intuitionistic fuzzy soft sets", Lecture Notes in Computer Science, 5908, pp.231~240 (2009)
- D. Molodstov, "Soft set theory-first results, Global optimization, control, and games, III", Com-put. Math. Appl., 37(4-5), pp.19~31 (1999)
- G. Muhiuddin, "Hesitant fuzzy filters and hesitant fuzzy G-filters in residuated lattices", J. Comput. Anal. Appl, 21(2), pp.394~404 (2016)
- G. Muhiuddin, "Subalgebras and ideals in BCK", BCI-algebras based on uni-hesitant fuzzy set theory, 2018, pp.11(2), 417~430
- G. Muhiuddin, "N-Soft p-ideal of BCI-algebras", Eur. J. Pure Appl. Math, 12(1), pp.79~87 (2019)
- G. Muhiuddin, "Cubic soft sets with applications in BCK", BCI-algebras, 2014, pp.8(2), 291~304
- G. Muhiuddin, "Unisoft Filters in R0-algebras", J. Comput. Anal. Appl, 19(1), pp.133~143 (2015)
- G. Muhiuddin, "Filter theory in MTL-algebras based on Uni-soft property", Bull. Iranian Math. Soc, 43(7), pp.2293~2306 (2017)
- G. Muhiuddin, "Subalgebras of BCK", BCI-algebras Based on Cubic Soft Sets, 2014, pp.2014, 1~9
- G. Muhiuddin, "Hesitant fuzzy translations and extensions of subalgebras and ideals in BCK", BCI-algebras, 2017, pp.32(1), 43~48
- L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)
