Characterizations of hoop-algebras via generalized hesitant fuzzy filters

Yong Wei Yang, Ling Ling Lu, Qian Liu

Abstract


As a generalization of hesitant fuzzy filters of hoop-algebras, we introduce the concept of (M,N)-hesitant fuzzy filters. Some properties of (M,N)-hesitant fuzzy filters are derived, and the relationship between filter and (M,N)-hesitant fuzzy filters is investigated. Several conditions for a hesitant fuzzy set to be a (M,N)-hesitant fuzzy filter are presented. 


Keywords


hoop-algebras, (M,N)-hesitant fuzzy filters, hesitant fuzzy sets

Full Text:

PDF

References


G. Georgescu, L. Leustean, V. Preoteasa, Pseudo-hoops, Journal of Multiple Valued logic and Soft Computing, 11 (2005) 153-184.

Y. Yang, X. Xin, EQ-algebras with pseudo pre-valuations, Italian Journal of Pure and Applied mathematics, 37 (2017) 29-48.

X. Zhang, Fuzzy anti-grouped filters and fuzzy normal filters in pseudo-BCI algebras, Journal of Intelligent & Fuzzy Systems 33 (2017) 1767–1774.

Y. Yang, X. Xin, P. He, Characterizations of MV-Algebras Based on the theory of falling shadows, The Scientific World Journal, Volume 2014, Article ID 951796, 11 pages.

M. Kondo, Some types of filters in hoops, International Symposium on Multiple-Valued Logic, 47 (2011) 50-53.

C. Luo, X. Xin, P. He, n-fold (positive) implicative filters of hoops. Italian Journal of Pure & Applied Mathematics, 38 ( 2017) 631-642.

V. Torra, Hesitant fuzzy sets, International Journal of Intelligent Systems, 25(6) (2010) 529–539.

I. Beg, T. Rashid, Ideal solutions for hesitant fuzzy soft sets, Journal of Intelligent & Fuzzy Systems, 30(1) (2016) 143-150.

M. Xia, Z. Xu, Some studies on properties of hesitant fuzzy sets, International Journal of Machine Learning and Cybernetics, 8(2) (2017) 489-495.

G. Muhiuddin, E. H. Roh, S. S. Ahn, et al., Hesitant fuzzy filters in lattice implication algebras, Journal of Computational Analysis & Applications, 22(1) (2017)

Y. B. Jun, S. A. Sun, Hesitant fuzzy set theory applied to BCK/BCI-algebras, Journal of Computational Analysis & Applications, 20(4) (2016) 635-646.

Y. B. Jun, S. A. Sun, Hesitant fuzzy set theory applied to filters in MTL-algebras, 36(4) (2014) 813-830.

R. T. Khorami, A. B. Saeid, Some unitary operators on hoop-algebras, Fuzzy Information and Engineering, 9(2) (2017) 205-223.

M. Xia, Z. Xu, Hesitant fuzzy information aggregation in decision making, International Journal of Approximate Reasoning, 52 (2011) 395-407.


Refbacks

  • There are currently no refbacks.


Copyright (c) 2017 Global Journal of Mathematics

Copyright © 2016 by Global Publishing Corporation

scholar_logo_lg_2011Sis-Logoezbr

ISSN: 2395-4760

For any Technical Support contact us at editor@gpcpublishing.org, editorglobalpublishing@gmail.com.