Research Article

Hesitant Fuzzy h-ideals of \Gamma-hemirings

Number: 31 June 30, 2020
  • Debabrata Mandal *
EN

Hesitant Fuzzy h-ideals of \Gamma-hemirings

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. -

Keywords

References

  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.
  2. M. Henriksen, Ideals in semiringss with commutative addition, Amer. Math. Soc. Notices, 6(1958) 321.
  3. K. Iizuka, On the Jacobson radical of semiring, Tohoku Math.J., 11(2) (1959)409-421
  4. D.R.La Torre, On h-ideals and k-ideals in hemirings, Publ. Math. Debrecen 12(1965), 219-226.
  5. M.M.K.Rao, \Gamma-semirings-1, Southeast Asian Bull. of Math., 19(1995), 49-54
  6. L.A.Zadeh, Fuzzy Sets, Information and Control, 8(1965), 338 - 353.
  7. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1983) 87 - 96.
  8. 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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Debabrata Mandal * This is me
India

Publication Date

June 30, 2020

Submission Date

April 27, 2019

Acceptance Date

May 14, 2020

Published in Issue

Year 2020 Number: 31

APA
Mandal, D. (2020). Hesitant Fuzzy h-ideals of \Gamma-hemirings. Journal of New Theory, 31, 48-54. https://izlik.org/JA95LJ56CS
AMA
1.Mandal D. Hesitant Fuzzy h-ideals of \Gamma-hemirings. JNT. 2020;(31):48-54. https://izlik.org/JA95LJ56CS
Chicago
Mandal, Debabrata. 2020. “Hesitant Fuzzy H-Ideals of \Gamma-Hemirings”. Journal of New Theory, nos. 31: 48-54. https://izlik.org/JA95LJ56CS.
EndNote
Mandal D (June 1, 2020) Hesitant Fuzzy h-ideals of \Gamma-hemirings. Journal of New Theory 31 48–54.
IEEE
[1]D. Mandal, “Hesitant Fuzzy h-ideals of \Gamma-hemirings”, JNT, no. 31, pp. 48–54, June 2020, [Online]. Available: https://izlik.org/JA95LJ56CS
ISNAD
Mandal, Debabrata. “Hesitant Fuzzy H-Ideals of \Gamma-Hemirings”. Journal of New Theory. 31 (June 1, 2020): 48-54. https://izlik.org/JA95LJ56CS.
JAMA
1.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, no. 31, June 2020, pp. 48-54, https://izlik.org/JA95LJ56CS.
Vancouver
1.Debabrata Mandal. Hesitant Fuzzy h-ideals of \Gamma-hemirings. JNT [Internet]. 2020 Jun. 1;(31):48-54. Available from: https://izlik.org/JA95LJ56CS

 

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