Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, Sayı: 31, 48 - 54, 30.06.2020

Öz

Kaynakça

  • H.S. Vandiver, Note on a simple type of algebra in which cancellation law of addition does not hold, Bull. Amer. Math. Soc. 40 (1934) 914 - 920.
  • M. Henriksen, Ideals in semiringss with commutative addition, Amer. Math. Soc. Notices, 6(1958) 321.
  • K. Iizuka, On the Jacobson radical of semiring, Tohoku Math.J., 11(2) (1959)409-421
  • D.R.La Torre, On h-ideals and k-ideals in hemirings, Publ. Math. Debrecen 12(1965), 219-226.
  • M.M.K.Rao, \Gamma-semirings-1, Southeast Asian Bull. of Math., 19(1995), 49-54
  • L.A.Zadeh, Fuzzy Sets, Information and Control, 8(1965), 338 - 353.
  • K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1983) 87 - 96.
  • P. Sarkar and S. Kar, Interval-Valued Primary Fuzzy Ideal of Non-commutative Semigroup, In- ternational Journal of Applied and Computational Mathematics, 3(4) (2017), 3945 - 3960.
  • J. Casasnovas andF Rossello, Scalar and fuzzy cardinalities of crisp and fuzzy multisets, Interna- tional Journal of Intellegent Systems, Vol. 24, Issue 6, (2009), 587 - 623.
  • V. Torra, Hesitant fuzzy sets, Int. J. Intell. Syst. 25 (2010), 529 - 539.
  • 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.
  • R. M. Rodriguez, Luis Martinez and Francisco Herrera, Hesitant fuzzy linguistic term sets for decision making, IEEE Trans. Fuzzy Syst. 20, no. 1, (2012) 109 - 119.
  • V. Torra and Y. Narukawa, On hesitant fuzzy sets and decision, in: The 18th IEEE International Conference on Fuzzy Systems, pp. 1378 - 1382, Jeju Island, Korea, 2009.
  • G. Wei, Hesitant fuzzy prioritized operators and their application to multiple attribute decision making, Knowledge-Based Systems, 31 (2012), 176 - 182.
  • M. Xia and Z. S. Xu, Hesitant fuzzy information aggregation in decision making, Internat. J. Approx. Reason., 52 (2011), no. 3, 395 - 407.
  • M. Xia, Z. S. Xu, and N. Chen, Some hesitant fuzzy aggregation operators with their application in group decision making, Group Decision Negotiation, 22 (2013), 259 - 279.
  • Z. S. Xu and M. Xia, Distance and similarity measures for hesitant fuzzy sets, Inform. Sci., 181 (2011), no. 11, 2128 - 2138.
  • B. Zhu, Z. Xu, and M. Xia, Hesitant fuzzy geometric Bonferroni means, Inform. Sci., 205 (2012), 72 - 85.
  • Y. B. Jun and M. Khan, Hesitant fuzzy bi-ideals in semigroups, Commun. Korean Math. Soc. 30 (2015), No. 3, 143 - 154
  • T.K. Dutta, S.K. Sardar, On matrix \Gamma-semirings, Far East J. Math. Sci.,Vol 7, No. 1 (2002), 17 - 31.

Hesitant Fuzzy h-ideals of \Gamma-hemirings

Yıl 2020, Sayı: 31, 48 - 54, 30.06.2020

Öz

The purpose of this paper is to introduce and study hesitant fuzzy h-
ideals ( h-bi-ideals, h-quasi-ideals) of a \Gamma-hemiring. We investigate several properties of
these ideals. We show that hesitant fuzzy ideals are closed under intersection, carte-
sian product and composition. We also obtain some inter-relations between these
ideals and characterizations of h-regular \Gamma-hemiring.
-

Kaynakça

  • H.S. Vandiver, Note on a simple type of algebra in which cancellation law of addition does not hold, Bull. Amer. Math. Soc. 40 (1934) 914 - 920.
  • M. Henriksen, Ideals in semiringss with commutative addition, Amer. Math. Soc. Notices, 6(1958) 321.
  • K. Iizuka, On the Jacobson radical of semiring, Tohoku Math.J., 11(2) (1959)409-421
  • D.R.La Torre, On h-ideals and k-ideals in hemirings, Publ. Math. Debrecen 12(1965), 219-226.
  • M.M.K.Rao, \Gamma-semirings-1, Southeast Asian Bull. of Math., 19(1995), 49-54
  • L.A.Zadeh, Fuzzy Sets, Information and Control, 8(1965), 338 - 353.
  • K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1983) 87 - 96.
  • P. Sarkar and S. Kar, Interval-Valued Primary Fuzzy Ideal of Non-commutative Semigroup, In- ternational Journal of Applied and Computational Mathematics, 3(4) (2017), 3945 - 3960.
  • J. Casasnovas andF Rossello, Scalar and fuzzy cardinalities of crisp and fuzzy multisets, Interna- tional Journal of Intellegent Systems, Vol. 24, Issue 6, (2009), 587 - 623.
  • V. Torra, Hesitant fuzzy sets, Int. J. Intell. Syst. 25 (2010), 529 - 539.
  • 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.
  • R. M. Rodriguez, Luis Martinez and Francisco Herrera, Hesitant fuzzy linguistic term sets for decision making, IEEE Trans. Fuzzy Syst. 20, no. 1, (2012) 109 - 119.
  • V. Torra and Y. Narukawa, On hesitant fuzzy sets and decision, in: The 18th IEEE International Conference on Fuzzy Systems, pp. 1378 - 1382, Jeju Island, Korea, 2009.
  • G. Wei, Hesitant fuzzy prioritized operators and their application to multiple attribute decision making, Knowledge-Based Systems, 31 (2012), 176 - 182.
  • M. Xia and Z. S. Xu, Hesitant fuzzy information aggregation in decision making, Internat. J. Approx. Reason., 52 (2011), no. 3, 395 - 407.
  • M. Xia, Z. S. Xu, and N. Chen, Some hesitant fuzzy aggregation operators with their application in group decision making, Group Decision Negotiation, 22 (2013), 259 - 279.
  • Z. S. Xu and M. Xia, Distance and similarity measures for hesitant fuzzy sets, Inform. Sci., 181 (2011), no. 11, 2128 - 2138.
  • B. Zhu, Z. Xu, and M. Xia, Hesitant fuzzy geometric Bonferroni means, Inform. Sci., 205 (2012), 72 - 85.
  • Y. B. Jun and M. Khan, Hesitant fuzzy bi-ideals in semigroups, Commun. Korean Math. Soc. 30 (2015), No. 3, 143 - 154
  • T.K. Dutta, S.K. Sardar, On matrix \Gamma-semirings, Far East J. Math. Sci.,Vol 7, No. 1 (2002), 17 - 31.
Toplam 20 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Debabrata Mandal Bu kişi benim

Yayımlanma Tarihi 30 Haziran 2020
Gönderilme Tarihi 27 Nisan 2019
Yayımlandığı Sayı Yıl 2020 Sayı: 31

Kaynak Göster

APA Mandal, D. (2020). Hesitant Fuzzy h-ideals of \Gamma-hemirings. Journal of New Theory(31), 48-54.
AMA Mandal D. Hesitant Fuzzy h-ideals of \Gamma-hemirings. JNT. Haziran 2020;(31):48-54.
Chicago Mandal, Debabrata. “Hesitant Fuzzy H-Ideals of \Gamma-Hemirings”. Journal of New Theory, sy. 31 (Haziran 2020): 48-54.
EndNote Mandal D (01 Haziran 2020) Hesitant Fuzzy h-ideals of \Gamma-hemirings. Journal of New Theory 31 48–54.
IEEE D. Mandal, “Hesitant Fuzzy h-ideals of \Gamma-hemirings”, JNT, sy. 31, ss. 48–54, Haziran 2020.
ISNAD Mandal, Debabrata. “Hesitant Fuzzy H-Ideals of \Gamma-Hemirings”. Journal of New Theory 31 (Haziran 2020), 48-54.
JAMA Mandal D. Hesitant Fuzzy h-ideals of \Gamma-hemirings. JNT. 2020;:48–54.
MLA Mandal, Debabrata. “Hesitant Fuzzy H-Ideals of \Gamma-Hemirings”. Journal of New Theory, sy. 31, 2020, ss. 48-54.
Vancouver Mandal D. Hesitant Fuzzy h-ideals of \Gamma-hemirings. JNT. 2020(31):48-54.


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).