HESITANT FUZZY SETS ON UP-ALGEBRAS
Abstract
In this paper, hesitant fuzzy sets on UP-algebras are introduced, proved some results and discussed the generalizations of some concepts of hesitant fuzzy sets. Further, we discuss the relation between characteristic hesitant fuzzy sets and UP-subalgebras (resp. UP-filters, UP-ideals and strongly UP-ideals).
Keywords
References
- [1] A. Ali, M. Khan, and F. G. Shi, Hesitant fuzzy ideals in Abel-Grassmann's groupoid, Ital. J. Pure Appl. Math. 35 (2015), 537-556.
- [2] T. Guntasow, S. Sajak, A. Jomkham, and A. Iampan, Fuzzy translations of a fuzzy set in UP-algebras, J. Indones. Math. Soc., Manuscript accepted for publication.
- [3] Q. P. Hu and X. Li, On BCH-algebras, Math. Semin. Notes, Kobe Univ. 11 (1983), 313-320.
- [4] A. Iampan, A new branch of the logical algebra: UP-algebras, J. Algebra Relat. Top. 5 (2017), no. 1, 35{-54.
- [5] Y. Imai and K. Iseki, On axiom system of propositional calculi, XIV, Proc. Japan Acad. 42 (1966), no. 1, 19-22.
- [6] K. Iseki, An algebra related with a propositional calculus, Proc. Japan Acad. 42 (1966), no. 1, 26-29.
- [7] Y. B. Jun and S. S. Ahn, Hesitant fuzzy set theory applied to BCI/BCK-algebras, J. Comput. Anal. Appl. 20 (2016), no. 4, 635-646.
- [8] Y. B. Jun, S. S. Ahn, and G. Muhiuddin, Hesitant fuzzy soft subalgebra and ideal in BCI/BCK-algebras, Sci. World J. 2014 (2014), Article ID 763929, 7 pages.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
October 15, 2017
Submission Date
October 15, 2017
Acceptance Date
May 31, 2017
Published in Issue
Year 2017 Volume: 5 Number: 2
