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(∈, ∈ V<i>q</i>)-Interval-Valued Fuzzy Dot d-Ideals of d-Algebras
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(∈, ∈ Vq)-Interval-Valued Fuzzy Dot d-Ideals of d-Algebras

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Abstract:

The concept of (∈, ∈ ∨q)-interval-valued fuzzy dot d-ideals in dalgebras is introduced. Relationship among interval-valued fuzzy dideal, interval-valued fuzzy dot d-ideal, (∈, ∈)-interval-valued fuzzy dideal,(∈, ∈)-interval-valued fuzzy dot d-ideal, and (∈, ∈ ∨q)-intervalvalued fuzzy dot d-ideals are discussed. Conditions for an intervalvalued fuzzy d-ideal to be an (∈, ∈ ∨q)-interval-valued fuzzy dot dideals are given. Some properties of interval-valued fuzzy relations and interval-valued fuzzy ideals under homomorphism are investigated.

Info:

Periodical:
Advanced Trends in Mathematics (Volume 3)
Pages:
1-15
DOI:
https://doi.org/10.18052/www.scipress.com/ATMath.3.1
Citation:
S.R. Barbhuiya and K. D. Choudhury, "(∈, ∈ Vq)-Interval-Valued Fuzzy Dot d-Ideals of d-Algebras", Advanced Trends in Mathematics, Vol. 3, pp. 1-15, 2015
Online since:
June 2015
Authors:
S.R. Barbhuiya, Karabi Dutta Choudhury
Keywords:
(∈, ∈ ∨q)-Interval-Valued Fuzzy Dot d-Ideal, (∈, ∈)-Interval-Valued Fuzzy Dot d-Ideal, D-Algebra, Interval-Valued Fuzzy d-Ideal, Interval-Valued Fuzzy Dot d-Ideal
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References:

M. Akram and K. H. Dhar, on fuzzy d algebras, Punjab University Journal of Math, 37(2005), 61- 76.

N. O. Al-Shehrie, On fuzzy dot d ideals of d algebras, Advances in Algebra (ISSN 0973- 6964), 2(2009), 1-8.

K. T. Atanassov, Operations over interval-valued fuzzy sets, Fuzzy sets and systems, 64 (1994), 159-174.

D. K. Basnet and L. B. Singh, (∈, ∈ ∨q) - fuzzy ideal of BG-algebra, International Journal of Algebra, 5(15) (2011), 703-708.

S. K. Bhakat and P. Das, (∈, ∈ ∨q)-fuzzy subgroup, Fuzzy sets and systems, 80 (1996), 359-368.

S. K. Bhakat and P. Das, (∈ ∨q)-level subset, Fuzzy sets and systems, 103(3) (1999), 529-533.

Y. Imai and K. Iseki, On Axiom systems of Propositional calculi XIV, Proc, Japan Academy, 42 (1966)19-22.

K. H. Kim, on fuzzy dot subalgebras of d-algebras, International Mathematical Forum, 4(2009), 645-651.

D. S. Lee and C. H. Park, Interval-valued (∈, ∈ ∨q) fuzzy ideals in Rings, International Mathematical Forum, 4(13) (2009), 623-630.

P. P. Ming and L. Y. Ming, Fuzzy topologyI, Neighbourhood structure of a fuzzy point and MooreSmith convergence,J. Maths. Anal. Appl, 76(1980), 571-599.

J. Neggers and H. S. Kim, on d-algebras, Math. Slovaca, 49(1996), 19-26.

O.G. Xi, Fuzzy BCK algebras, Math Japonica, 36(1991), 935-942.

Y. B. Yun, On (α, β)-Fuzzy ideals of BCK/BCI-Algebras , Scientiae Mathematicae Japonicae, online, e-2004, 101-105.

L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353.

L. A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning-I, Information Science 8 (1975), 199-249.

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