Browse > Article
http://dx.doi.org/10.4134/CKMS.2016.31.1.017

HESITANT FUZZY SEMIGROUPS WITH TWO FRONTIERS  

Jun, Young Bae (Department of Mathematics Education Gyeongsang National University)
Lee, Kyoung Ja (Department of Mathematics Education Hannam University)
Park, Chul Hwan (Faculty of Mechanical Engineering Ulsan College)
Publication Information
Communications of the Korean Mathematical Society / v.31, no.1, 2016 , pp. 17-25 More about this Journal
Abstract
The notion of hesitant fuzzy semigroups with two frontiers is introduced, and related properties are investigated. Relations between a hesitant fuzzy semigroups with a frontier and a hesitant fuzzy semigroups with two frontiers are discussed. It is shown that the hesitant intersection of two hesitant fuzzy semigroups with two frontiers is a hesitant fuzzy semigroup with two frontiers. We provide an example to show that the hesitant union of two hesitant fuzzy semigroups with two frontiers may not be a hesitant fuzzy semigroup with two frontiers.
Keywords
hesitant fuzzy semigroup (with two frontiers); hesitant intersection; hesitant union;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Y. B. Jun and M. Khan, Hesitant fuzzy ideals in semigroups, J. Intell. Fuzzy Syst. (submitted).
2 Y. B. Jun, A. Khan, and S. Z. Song, Hesitant fuzzy interior ideals in semigroups, Bull. Iranian Math. Soc. (submitted).
3 Y. B. Jun and S. Z. Song, Hesitant fuzzy set theory applied to filters in MTL-algebras, Honam Math. J. 36 (2014), no. 4, 813-830.   DOI
4 Y. B. Jun and S. Z. Song, Hesitant fuzzy prefilters and filters of EQ-algebras, Appl. Math. Sci. 9 (2015), 515-532.
5 Y. B. Jun, S. Z. Song, and G. Muhiuddin, Hesitant fuzzy semigroups with a frontier, Glasnik Matematicki (submitted).
6 Rosa M. Rodriguez, Luis Martinez and Francisco Herrera, hesitant fuzzy linguistic term sets for decision making, IEEE Trans. Fuzzy Syst. 20 (2012), no. 1, 109-119.   DOI
7 V. Torra, Hesitant fuzzy sets, Int. J. Intell. Syst. 25 (2010) 529-539.
8 V. Torra and Y. Narukawa, On hesitant fuzzy sets and decision, in: The 18th IEEE International Conference on Fuzzy Systems, 1378-1382, Jeju Island, Korea, 2009.
9 G. Wei, Hesitant fuzzy prioritized operators and their application to multiple attribute decision making, Knowledge-Based Systems 31 (2012), 176-182.   DOI
10 M. Xia and Z. S. Xu, Hesitant fuzzy information aggregation in decision making, Internat. J. Approx. Reason. 52 (2011), no. 3, 395-407.   DOI
11 M. Xia, Z. S. Xu, and N. Chen, Some hesitant fuzzy aggregation operators with their application in group decision making, Group Decision Negotiation 22 (2013), 259-279.   DOI
12 Z. S. Xu, Hesitant Fuzzy Sets Theory, Berlin, Heidelberg, Springer-Verlag, 2014.
13 Z. S. Xu and M. Xia, Distance and similarity measures for hesitant fuzzy sets, Inform. Sci. 181 (2011), no. 11, 2128-2138.   DOI
14 L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353.   DOI
15 B. Zhu, Z. Xu, and M. Xia, Hesitant fuzzy geometric Bonferroni means, Inform. Sci. 205 (2012), 72-85.   DOI