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Quasi-Cut of Fuzzy Sets and Quasi-Cut of Instuitionistic Fuzzy Sets

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International Journal of Computer Applications
© 2015 by IJCA Journal
Volume 122 - Number 22
Year of Publication: 2015
Authors:
S. R. Barbhuiya
10.5120/21854-5182

S R Barbhuiya. Article: Quasi-Cut of Fuzzy Sets and Quasi-Cut of Instuitionistic Fuzzy Sets. International Journal of Computer Applications 122(22):1-8, July 2015. Full text available. BibTeX

@article{key:article,
	author = {S. R. Barbhuiya},
	title = {Article: Quasi-Cut of Fuzzy Sets and Quasi-Cut of Instuitionistic Fuzzy Sets},
	journal = {International Journal of Computer Applications},
	year = {2015},
	volume = {122},
	number = {22},
	pages = {1-8},
	month = {July},
	note = {Full text available}
}

Abstract

The aim of this paper is to study the properties of t-cut set, strong t-cut set, t-quasi-cut set, strong t-quasi-cut set and ∈ ∨q-cut set of a fuzzy set μ. For any intuitionistic fuzzy A =<μA , νA> and α, β ∈ [0, 1], we define and study the properties of upper (α, β) cut set Α(α, β), strong upper (α, β) cut set Α(α, β), lower (α, β) cut set A(α, β), strong lower (α, β) cut set A(α, β), upper (α, β)-quasi-cut set A<(α, β)>, strong upper (α, β)-quasi-cut set A<(α, β)>, lower (α, β)-quasi-cut set A<(α, β)>, strong lower (α, β)-quasi-cut set A <(α, β)> and ∈∨q-cut set.

References

  • L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353.
  • K. T. Atanassov, Intuitionistic Fuzzy Sets , VII ITKR's Session, Sofia,(Deposed in Central Sci. - Techn. Library of Bulg. Acad. of Sci. , 1697/84) (June 1983)(in Bulg. )
  • P. S. Das, Fuzzy groups and level subgroups, J. Math. Anal. Appl. 85(1981) 264-269.
  • D. K. Basnet, (α, β)-Cut of Intuitionistic Fuzzy Ideals, International Journal of Algebra, 4(27) (2010), 1329-1334.
  • S. K. Bhakat, P. Das, (∈, ∈∨q)-fuzzy subgroup, Fuzzy Sets and Systems 80 (1996) 359-368.
  • S. K. Bhakat, P. Das, (∈, ∈∨q)-level subset, Fuzzy sets and systems, 103(3), (1999) , 529-533.
  • P. K. Sharma, (α, β)-Cut of Intuitionistic Fuzzy Groups, International Mathematical Forum, 6(53) (2011), 2605-2614.
  • L. C. Zhong, Introduction to fuzzy (I), (II),Beijing Normal University Press (1989),(1993).
  • K. T. Atanassov, Intuitionistic Fuzzy Sets , Fuzzy sets and Systems. vol. 1(1986), 87-96
  • K. T. Atanassov , On Intuitionistic Fuzzy Sets Theory, Published by Springer-Verlag Berlin Heidelberg, 2012.
  • P. P. Ming, L. Y. Ming, Fuzzy topology I: neighbourhood structure of a fuzzy point and Moore-Smith convergence,, J. Math. Anal. Appl. 76(1980) 571-599.
  • V. Murali, Fuzzy points of equivalent fuzzy subsets, inform Sci, 158 (2004) 277-288.