Araştırma Makalesi
BibTex RIS Kaynak Göster

HESITANT FUZZY SETS ON UP-ALGEBRAS

Yıl 2017, Cilt: 5 Sayı: 2, 268 - 280, 15.10.2017

Öz

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).

Kaynakça

  • [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.
  • [9] Y. B. Jun and S. Z. Song, Hesitant fuzzy set theory applied to lters in MTL-algebras, Honam Math. J. 36 (2014), no. 4, 813-830.
  • [10] Y. B. Jun and S. Z. Song, Hesitant fuzzy pre lters and lters of EQ-algebras, Appl. Math. Sci. 9 (2015), no. 11, 515-532.
  • [11] S. Keawrahun and U. Leerawat, On isomorphisms of SU-algebras, Sci. Magna 7 (2011), no. 2, 39-44.
  • [12] C. Prabpayak and U. Leerawat, On ideals and congruences in KU-algebras, Sci. Magna 5 (2009), no. 1, 54-57.
  • [13] A. Rezaei and A. B. Saeid, Hesitant fuzzy lters in BE-algebras, Int. J. Comput. Int. Sys. 9 (2016), no. 1, 110-119.
  • [14] J. Somjanta, N. Thuekaew, P. Kumpeangkeaw, and A. Iampan, Fuzzy sets in UP-algebras, Ann. Fuzzy Math. Inform. 12 (2016), no. 6, 739-756.
  • [15] V. Torra, Hesitant fuzzy sets, Int. J. Intell. Syst. 25 (2010), 529-539.
  • [16] V. Torra and Y. Narukawa, On hesitant fuzzy sets and decision, 18th IEEE Int. Conf. Fuzzy Syst. (2009), 1378-382.
  • [17] L. A. Zadeh, Fuzzy sets, Inf. Cont. 8 (1965), 338-353.
  • [18] B. Zhu, Z. Xu, and M. Xia, Dual hesitant fuzzy sets, J. Appl. Math. 2012 (2012), Article ID 879629, 13 pages.
Yıl 2017, Cilt: 5 Sayı: 2, 268 - 280, 15.10.2017

Öz

Kaynakça

  • [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.
  • [9] Y. B. Jun and S. Z. Song, Hesitant fuzzy set theory applied to lters in MTL-algebras, Honam Math. J. 36 (2014), no. 4, 813-830.
  • [10] Y. B. Jun and S. Z. Song, Hesitant fuzzy pre lters and lters of EQ-algebras, Appl. Math. Sci. 9 (2015), no. 11, 515-532.
  • [11] S. Keawrahun and U. Leerawat, On isomorphisms of SU-algebras, Sci. Magna 7 (2011), no. 2, 39-44.
  • [12] C. Prabpayak and U. Leerawat, On ideals and congruences in KU-algebras, Sci. Magna 5 (2009), no. 1, 54-57.
  • [13] A. Rezaei and A. B. Saeid, Hesitant fuzzy lters in BE-algebras, Int. J. Comput. Int. Sys. 9 (2016), no. 1, 110-119.
  • [14] J. Somjanta, N. Thuekaew, P. Kumpeangkeaw, and A. Iampan, Fuzzy sets in UP-algebras, Ann. Fuzzy Math. Inform. 12 (2016), no. 6, 739-756.
  • [15] V. Torra, Hesitant fuzzy sets, Int. J. Intell. Syst. 25 (2010), 529-539.
  • [16] V. Torra and Y. Narukawa, On hesitant fuzzy sets and decision, 18th IEEE Int. Conf. Fuzzy Syst. (2009), 1378-382.
  • [17] L. A. Zadeh, Fuzzy sets, Inf. Cont. 8 (1965), 338-353.
  • [18] B. Zhu, Z. Xu, and M. Xia, Dual hesitant fuzzy sets, J. Appl. Math. 2012 (2012), Article ID 879629, 13 pages.
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Articles
Yazarlar

P. Mosrıjaı

W. Kamtı

A. Satırad Bu kişi benim

A. Iampan

Yayımlanma Tarihi 15 Ekim 2017
Gönderilme Tarihi 15 Ekim 2017
Kabul Tarihi 31 Mayıs 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 2

Kaynak Göster

APA Mosrıjaı, P., Kamtı, W., Satırad, A., Iampan, A. (2017). HESITANT FUZZY SETS ON UP-ALGEBRAS. Konuralp Journal of Mathematics, 5(2), 268-280.
AMA Mosrıjaı P, Kamtı W, Satırad A, Iampan A. HESITANT FUZZY SETS ON UP-ALGEBRAS. Konuralp J. Math. Ekim 2017;5(2):268-280.
Chicago Mosrıjaı, P., W. Kamtı, A. Satırad, ve A. Iampan. “HESITANT FUZZY SETS ON UP-ALGEBRAS”. Konuralp Journal of Mathematics 5, sy. 2 (Ekim 2017): 268-80.
EndNote Mosrıjaı P, Kamtı W, Satırad A, Iampan A (01 Ekim 2017) HESITANT FUZZY SETS ON UP-ALGEBRAS. Konuralp Journal of Mathematics 5 2 268–280.
IEEE P. Mosrıjaı, W. Kamtı, A. Satırad, ve A. Iampan, “HESITANT FUZZY SETS ON UP-ALGEBRAS”, Konuralp J. Math., c. 5, sy. 2, ss. 268–280, 2017.
ISNAD Mosrıjaı, P. vd. “HESITANT FUZZY SETS ON UP-ALGEBRAS”. Konuralp Journal of Mathematics 5/2 (Ekim 2017), 268-280.
JAMA Mosrıjaı P, Kamtı W, Satırad A, Iampan A. HESITANT FUZZY SETS ON UP-ALGEBRAS. Konuralp J. Math. 2017;5:268–280.
MLA Mosrıjaı, P. vd. “HESITANT FUZZY SETS ON UP-ALGEBRAS”. Konuralp Journal of Mathematics, c. 5, sy. 2, 2017, ss. 268-80.
Vancouver Mosrıjaı P, Kamtı W, Satırad A, Iampan A. HESITANT FUZZY SETS ON UP-ALGEBRAS. Konuralp J. Math. 2017;5(2):268-80.
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.