Research Article
BibTex RIS Cite

Partial Constant Hesitant Fuzzy Sets on UP-Algebras

Year 2018, Issue: 22, 39 - 50, 26.03.2018

Phakawat Mosrijai , Akarachai Satirad , Aiyared Iampan

Abstract

In this paper, partial constant hesitant fuzzy sets on UP-algebras are introduced and proved some results. Further, we discuss the relation between partial constant hesitant fuzzy sets and UP-subalgebras (resp. UP-filters, UP-ideals and strongly UP-ideals).

Keywords

UP-algebra hesitant fuzzy set partial constant hesitant fuzzy set

References

  • [1] A. Ali, M. Khan, 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, A. Iampan, Fuzzy translations of a fuzzy set in UP-algebras, J. Indones. Math. Soc. 23(2) (2017) 1-19.
  • [3] Q. P. Hu, 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(1) (2017) 35-54.
  • [5] Y. Imai, K. Is¶eki, On axiom system of propositional calculi, XIV, Proc. Japan Acad. 42(1) (1966) 19-22.
  • [6] K. Is¶eki, An algebra related with a propositional calculus, Proc. Japan Acad. 42(1) (1966) 26-29.
  • [7] Y. B. Jun, S. S. Ahn, Hesitant fuzzy set theory applied to BCI/BCK-algebras, J. Comput. Anal. Appl. 20(4) (2016) 635-646.
  • [8] Y. B. Jun, S. S. Ahn, G. Muhiuddin, Hesitant fuzzy soft subalgebra and ideal in BCI/BCK-algebras, Sci. World J. 2014 (2014) Article ID 763929, 7 pages.
  • [9] Y. B. Jun, K. J. Lee, S. Z. Song, Hesitant fuzzy bi-ideals in semigroups, Commun. Korean Math. Soc. 30(3) (2015) 143-154.
  • [10] Y. B. Jun, S. Z. Song, Hesitant fuzzy set theory applied to filters in MTL-algebras, Honam Math. J. 36(4) (2014) 813-830.
  • [11] Y. B. Jun, S. Z. Song, Hesitant fuzzy prefilters and filters of EQ-algebras, Appl. Math. Sci. 9(11) (2015) 515-532.
  • [12] S. Keawrahun, U. Leerawat, On isomorphisms of SU-algebras, Sci. Magna 7(2) (2011) 39-44.
  • [13] P. Mosrijai, W. Kamti, A. Satirad, A. Iampan, Hesitant fuzzy sets on UP-algebras, Konuralp J. Math. 5(2) (2017) 268-280.
  • [14] G. Muhiuddin, Hesitant fuzzy filters and hesitant fuzzy G-filter in residuated lattices, J. Comput. Anal. Appl. 21(2) (2016) 394-404.
  • [15] C. Prabpayak, U. Leerawat, On ideals and congruences in KU-algebras, Sci. Magna 5(1) (2009) 54-57.
  • [16] R. M. Rodriguez, L. Martinez, F. Herrera, Hesitant fuzzy linguistic term sets for decision making, IEEE Trans. Fuzzy Syst. 20(1) (2012) 109-119.
  • [17] A. Satirad, P. Mosrijai, W. Kamti, A. Iampan, Level subsets of a hesitant fuzzy set on UP-algebras, Ann. Fuzzy Math. Inform. 14(3) (2017) 279-302.
  • [18] J. Somjanta, N. Thuekaew, P. Kumpeangkeaw, A. Iampan, Fuzzy sets in UP-algebras, Ann. Fuzzy Math. Inform. 12(6) (2016) 739-756.
  • [19] V. Torra, Hesitant fuzzy sets, Int. J. Intell. Syst. 25 (2010) 529-539.
  • [20] V. Torra, Y. Narukawa, On hesitant fuzzy sets and decision, 18th IEEE Int. Conf. Fuzzy Syst. (2009) 1378{1382.
  • 21] L. A. Zadeh, Fuzzy sets, Inf. Cont. 8 (1965) 338-353.
  • [22] B. Zhu, Z. Xu, M. Xia, Dual hesitant fuzzy sets, J. Appl. Math. 2012 (2012) Article ID 879629, 13 pages.

Year 2018, Issue: 22, 39 - 50, 26.03.2018

Phakawat Mosrijai , Akarachai Satirad , Aiyared Iampan

Abstract

References

  • [1] A. Ali, M. Khan, 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, A. Iampan, Fuzzy translations of a fuzzy set in UP-algebras, J. Indones. Math. Soc. 23(2) (2017) 1-19.
  • [3] Q. P. Hu, 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(1) (2017) 35-54.
  • [5] Y. Imai, K. Is¶eki, On axiom system of propositional calculi, XIV, Proc. Japan Acad. 42(1) (1966) 19-22.
  • [6] K. Is¶eki, An algebra related with a propositional calculus, Proc. Japan Acad. 42(1) (1966) 26-29.
  • [7] Y. B. Jun, S. S. Ahn, Hesitant fuzzy set theory applied to BCI/BCK-algebras, J. Comput. Anal. Appl. 20(4) (2016) 635-646.
  • [8] Y. B. Jun, S. S. Ahn, G. Muhiuddin, Hesitant fuzzy soft subalgebra and ideal in BCI/BCK-algebras, Sci. World J. 2014 (2014) Article ID 763929, 7 pages.
  • [9] Y. B. Jun, K. J. Lee, S. Z. Song, Hesitant fuzzy bi-ideals in semigroups, Commun. Korean Math. Soc. 30(3) (2015) 143-154.
  • [10] Y. B. Jun, S. Z. Song, Hesitant fuzzy set theory applied to filters in MTL-algebras, Honam Math. J. 36(4) (2014) 813-830.
  • [11] Y. B. Jun, S. Z. Song, Hesitant fuzzy prefilters and filters of EQ-algebras, Appl. Math. Sci. 9(11) (2015) 515-532.
  • [12] S. Keawrahun, U. Leerawat, On isomorphisms of SU-algebras, Sci. Magna 7(2) (2011) 39-44.
  • [13] P. Mosrijai, W. Kamti, A. Satirad, A. Iampan, Hesitant fuzzy sets on UP-algebras, Konuralp J. Math. 5(2) (2017) 268-280.
  • [14] G. Muhiuddin, Hesitant fuzzy filters and hesitant fuzzy G-filter in residuated lattices, J. Comput. Anal. Appl. 21(2) (2016) 394-404.
  • [15] C. Prabpayak, U. Leerawat, On ideals and congruences in KU-algebras, Sci. Magna 5(1) (2009) 54-57.
  • [16] R. M. Rodriguez, L. Martinez, F. Herrera, Hesitant fuzzy linguistic term sets for decision making, IEEE Trans. Fuzzy Syst. 20(1) (2012) 109-119.
  • [17] A. Satirad, P. Mosrijai, W. Kamti, A. Iampan, Level subsets of a hesitant fuzzy set on UP-algebras, Ann. Fuzzy Math. Inform. 14(3) (2017) 279-302.
  • [18] J. Somjanta, N. Thuekaew, P. Kumpeangkeaw, A. Iampan, Fuzzy sets in UP-algebras, Ann. Fuzzy Math. Inform. 12(6) (2016) 739-756.
  • [19] V. Torra, Hesitant fuzzy sets, Int. J. Intell. Syst. 25 (2010) 529-539.
  • [20] V. Torra, Y. Narukawa, On hesitant fuzzy sets and decision, 18th IEEE Int. Conf. Fuzzy Syst. (2009) 1378{1382.
  • 21] L. A. Zadeh, Fuzzy sets, Inf. Cont. 8 (1965) 338-353.
  • [22] B. Zhu, Z. Xu, M. Xia, Dual hesitant fuzzy sets, J. Appl. Math. 2012 (2012) Article ID 879629, 13 pages.
There are 22 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Phakawat Mosrijai

Akarachai Satirad

Aiyared Iampan

Publication Date March 26, 2018
Submission Date January 4, 2018
Published in Issue Year 2018 Issue: 22

Cite

APA Mosrijai, P., Satirad, A., & Iampan, A. (2018). Partial Constant Hesitant Fuzzy Sets on UP-Algebras. Journal of New Theory(22), 39-50.
AMA Mosrijai P, Satirad A, Iampan A. Partial Constant Hesitant Fuzzy Sets on UP-Algebras. JNT. March 2018;(22):39-50.
Chicago Mosrijai, Phakawat, Akarachai Satirad, and Aiyared Iampan. “Partial Constant Hesitant Fuzzy Sets on UP-Algebras”. Journal of New Theory, no. 22 (March 2018): 39-50.
EndNote Mosrijai P, Satirad A, Iampan A (March 1, 2018) Partial Constant Hesitant Fuzzy Sets on UP-Algebras. Journal of New Theory 22 39–50.
IEEE P. Mosrijai, A. Satirad, and A. Iampan, “Partial Constant Hesitant Fuzzy Sets on UP-Algebras”, JNT, no. 22, pp. 39–50, March 2018.
ISNAD Mosrijai, Phakawat et al. “Partial Constant Hesitant Fuzzy Sets on UP-Algebras”. Journal of New Theory 22 (March 2018), 39-50.
JAMA Mosrijai P, Satirad A, Iampan A. Partial Constant Hesitant Fuzzy Sets on UP-Algebras. JNT. 2018;:39–50.
MLA Mosrijai, Phakawat et al. “Partial Constant Hesitant Fuzzy Sets on UP-Algebras”. Journal of New Theory, no. 22, 2018, pp. 39-50.
Vancouver Mosrijai P, Satirad A, Iampan A. Partial Constant Hesitant Fuzzy Sets on UP-Algebras. JNT. 2018(22):39-50.


TR Dizin 26024

Electronic Journals Library (EZB) 13651



Academindex 28993

SOBİAD 30256                                                   

Scilit 20865                                                  


29324 As of 2021, JNT is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC).