KaydedilenlerDerginizi ekleyin

Dergiler / Journal of New Theory / 2020 / Sayı: 31

Hesitant Fuzzy h-ideals of \Gamma-hemirings

Debabrata MANDAL
Sayfa
48–54
Yayın Tarihi
2020-06-30
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also obtain some inter-relations between these ideals and characterizations of h-regular \Gamma-hemiring. -

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The purpose of this paper is to introduce and study hesitant fuzzy h- ideals ( h-bi-ideals, h-quasi-ideals) of a \Gamma-hemiring.
📊
Temel Bulgular & Veri:We investigate several properties of these ideals.
💡
Sonuç & Katkı:We also obtain some inter-relations between these ideals and characterizations of h-regular \Gamma-hemiring. -
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fuzzy · hesitant · ideal

Abstract

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. -

🔖

Bu Makaleye Atıf Yap

MANDAL, D. (2020). Hesitant Fuzzy h-ideals of \Gamma-hemirings. Journal of New Theory, Sayı: 31, 48–54. https://ajindex.com/articles/681499

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (4)

  1. 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
  2. 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
  3. 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.
  4. 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.