Hesitant fuzzy sets applied to BCK/BCI-algebras
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
We de ne a hesitant fuzzy BCK=BCI-algebra and obtain some of its properties. Next, we introduce the concept of hesitant fuzzy ideal and obtain some of its properties and give some examples. Finally, we de ne a hesitant fuzzy positive implicative ideal, a hesitant fuzzy im- plicative ideal, a hesitant fuzzy commutative ideal and investigate some of its properties, respectively and their relations. In particular, we give char- acterizations of hesitant fuzzy positive implicative ideal, a hesitant fuzzy implicative ideal and a hesitant fuzzy commutative ideal, respectively.
Abstract
We de ne a hesitant fuzzy BCK=BCI-algebra and obtain some of its properties. Next, we introduce the concept of hesitant fuzzy ideal and obtain some of its properties and give some examples. Finally, we de ne a hesitant fuzzy positive implicative ideal, a hesitant fuzzy im- plicative ideal, a hesitant fuzzy commutative ideal and investigate some of its properties, respectively and their relations. In particular, we give char- acterizations of hesitant fuzzy positive implicative ideal, a hesitant fuzzy implicative ideal and a hesitant fuzzy commutative ideal, respectively.
참고문헌 (22)
- Halimah Alshehri, "Hesitant anti-fuzzy soft set in BCK-algebras", Mathe- matical Problems in Engineering, pp.13~ (2017)
- D. Divakaran, "Hesitant fuzzy rough sets through hesitant fuzzy relations", Ann. Fuzzy Math. Inform, 8(1), pp.33~46 (2014)
- D. Divakaran, "Homomorphism of hesitant fuzzy subgroups", International Journal of Scientific and Engineering Research, 5(9), pp.9~14 (2014)
- D. Divakaran, "Hesitant fuzzy subgroups", Journal of New Theory, 11, pp.54~68 (2016)
- Deepa V, "Dual hesitant fuzzy subrings and ideals", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 13(3), pp.437~448 (2017), 기초자연과학연구소[DOI]
- D. Divakara, "Hesitant L-fuzzy relations", 2018 6th Iranian Joint Congress on Fuzzy and Intelligent Systems (CFIS), pp.102~104 (2018)
- Y. B. Jun, "Hesitant fuzzy set theory applied to BCK=BCI-algebras", J. Com- putationa Analysis and Applications, 20(4), pp.635~646 (2016)
- 전영배, "Hesitant fuzzy bi-ideals in semigroups", 대한수학회논문집, 30(3), pp.143~154 (2015), 대한수학회
- Y. S. Huang, "BCI-algebra" (2006), Science Press
- K. Iseki, "On BCI-algebras", Math. Seminar Notes, 8, pp.125~130 (1980)
- K. Iseki, "An introduction to the theory of BCK-algebras", Math. Japon, 23, pp.1~26 (1978)
- 김준희, "The category of hesitant $H$-fuzzy sets", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 18(1), pp.57~74 (2019), 기초자연과학연구소[DOI]
- 김준희, "Hesitant fuzzy subgroups and subrings", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 18(2), pp.105~122 (2019), 기초자연과학연구소[DOI]
- R. Krishankumar, "A scientific decision-making framework for supplier outsourcing using hesitant fuzzy information", Soft Computing, 22, pp.7445~7461 (2018)
- J. Meng, "BCK-algebras" (1996), Kyungmoon Sa Co
- G. Muhiuddin, "Subalgebras and ideals in BCK=BCI-algebras based on uni-hesitant fuzzy set theory", Eur. J. Pure Appl. Math, 11(2), pp.417~430 (2018)
- A. Rezaei, "Hesitant fuzzy filters in BE-algebras", International Journal of Computational Intelligence Systems, 9(1), pp.110~119 (2016)
- Zheng Pei, "A note on operations of hesitant fuzzy set", International Journal of Computational Intelligence Systems, 8(2), pp.226~239 (2015)
- A. Solariaju, "Hesitant intuitionistic fuzzy soft groups", International Jour- nal of Pure and Applied Mathematics, 118(10), pp.223~232 (2018)
- G. S. Thakur, "Rekha Thakur and Ravi Singh New Hesitant fuzzy operatos", Fuzzy Inf. Eng, 6, pp.379~392 (2014)
- V. Torra, "Hesitant fuzzy sets", International Journal of Intelligent Systems, 25, pp.529~539 (2010)
- M. Xia, "Hesitant fuzzy information aggregation in decision making", Internat. J. Approx. Reason, 52(3), pp.395~407 (2011)