Dual hesitant fuzzy subrings and ideals
0
조회
0
다운로드
2
인용
0
참고문헌
키워드
초록
In this paper, the notion of dual hesitant fuzzy subring and dual hesitant fuzzy ideal is introduced. For that purpose various new operations on dual hesitant fuzzy set such as score based union, score based intersection etc. are introduced. Moreover, some score based properties of dual hesitant fuzzy subring and ideal are obtained. Furthermore, an extension principle for dual hesitant fuzzy set is defined. Finally,the image and pre-image of dual hesitant fuzzy subring under a homomorphism are discussed.
Abstract
In this paper, the notion of dual hesitant fuzzy subring and dual hesitant fuzzy ideal is introduced. For that purpose various new operations on dual hesitant fuzzy set such as score based union, score based intersection etc. are introduced. Moreover, some score based properties of dual hesitant fuzzy subring and ideal are obtained. Furthermore, an extension principle for dual hesitant fuzzy set is defined. Finally,the image and pre-image of dual hesitant fuzzy subring under a homomorphism are discussed.
참고문헌 (18)
- Baldev Banerjee, "Intuitionistic fuzzy subrings and ideals", J. Fuzzy Math, 11(1), pp.139~155 (2003)
- D. Deepak, "Homomorphisms of Hesitant fuzzy subgroups", International Journal of scientific and engineering research, 5, pp.9~14 (2014)
- D. Deepak, "Hesitant fuzzy rough sets through hesitant fuzzy relations", Ann. Fuzzy Math. Inform, 8(1), pp.33~46 (2014)
- Yu Dejian, "Some Generalized Dual Hesistant Fuzzy Geometric Aggregation Operators and Applications, International Journal of Uncertainty", Fuzziness and Knowledge-Based Systems, 22, pp.367~384 (2014)
- KulHur, "t-Intuitionistic Fuzzy Subgroups and Subrings", 한국지능시스템학회 논문지, 13(5), pp.627~634 (2003), 한국지능시스템학회
- Ye Jun, "correlation coeffcient of dual hesitant fuzzy sets and its application to multiple attribute decision making", Applied Mathematical Modelling, 38, pp.659~666 (2014)
- Wang-jin Liu, "Fuzzy invariant subgroups and ideals", Fuzzy Sets and Systems, 8, pp.133~139 (1982)
- Singh Pushpinder, "A new method for solving dual hesitant fuzzy assignment problems with restrictions based on similarity measure", Applied Soft Computing, 24, pp.559~571 (2014)
- Zhiliang Ren, "A multi-attribute decision-making method with prioritization relationship and dual hesitant fuzzy decision information", International Journal of Machine Learning and Cybernetics, 8(3), pp.755~763 (2017), Springer Science and Business Media LLC[DOI]
- A. Rosenfeld, "Fuzzy groups", J. Math. Anal. Appl, 35, pp.512~517 (1971)
- Z. Su, "Distance and similarity measures for dual hesitant fuzzy sets and their applications in pattern recognition", Journal of Intelligent and Fuzzy Systems, 29, pp.731~745 (2015)
- V. Torra, "Hesitant fuzzy sets", International Journal of Intelligent Systems, 25, pp.529~539 (2010)
- Hongjun Wang, "Dual hesitant fuzzy aggregation operators in multiple attribute decision making", Journal of Intelligent and Fuzzy Systems, 26, pp.2281~2290 (2014)
- Lei Wang, "Correlation Measures of Dual Hesitant Fuzzy Sets", Journal of Applied Mathematics (2013)
- Z. S. Xu, "Distance and similarity measures for hesitant fuzzy sets", Inform. Sci, 181, pp.2128~2138 (2011)
- Z. S. Xu, "Hesitant fuzzy information aggregation in decision making", International Journal of Approximate Reasoning, 52, pp.395~407 (2011)
- B. Zhu, "Dual hesitant fuzzy sets", Journal of Applied Mathematics (2012)
- B. Zhu, "Some results for dual hesitant fuzzy sets", Journal of Intelligent and Fuzzy Systems, 26, pp.1657~1668 (2014)