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Partial Constant Hesitant Fuzzy Sets on UP-Algebras

Yıl 2018, Sayı: 22, 39 - 50, 26.03.2018

Öz

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).

Kaynakça

  • [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.
Yıl 2018, Sayı: 22, 39 - 50, 26.03.2018

Öz

Kaynakça

  • [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.
Toplam 22 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Phakawat Mosrijai

Akarachai Satirad

Aiyared Iampan

Yayımlanma Tarihi 26 Mart 2018
Gönderilme Tarihi 4 Ocak 2018
Yayımlandığı Sayı Yıl 2018 Sayı: 22

Kaynak Göster

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. Mart 2018;(22):39-50.
Chicago Mosrijai, Phakawat, Akarachai Satirad, ve Aiyared Iampan. “Partial Constant Hesitant Fuzzy Sets on UP-Algebras”. Journal of New Theory, sy. 22 (Mart 2018): 39-50.
EndNote Mosrijai P, Satirad A, Iampan A (01 Mart 2018) Partial Constant Hesitant Fuzzy Sets on UP-Algebras. Journal of New Theory 22 39–50.
IEEE P. Mosrijai, A. Satirad, ve A. Iampan, “Partial Constant Hesitant Fuzzy Sets on UP-Algebras”, JNT, sy. 22, ss. 39–50, Mart 2018.
ISNAD Mosrijai, Phakawat vd. “Partial Constant Hesitant Fuzzy Sets on UP-Algebras”. Journal of New Theory 22 (Mart 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 vd. “Partial Constant Hesitant Fuzzy Sets on UP-Algebras”. Journal of New Theory, sy. 22, 2018, ss. 39-50.
Vancouver Mosrijai P, Satirad A, Iampan A. Partial Constant Hesitant Fuzzy Sets on UP-Algebras. JNT. 2018(22):39-50.


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