Interval-valued intuitionistic fuzzy k-ideal in semi-rings
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DOI:
https://doi.org/10.26637/MJM0604/0008Abstract
The concept of interval-valued intuitionistic fuzzy set was introduced by Atanassov and Gargov [2] in the year 1989.In this paper the Cartesian product of interval-valued intuitionistic fuzzy k-ideals is introduced. Also some basic properties are derived. The relationship between interval-valued intuitionistic fuzzy k-ideal A;B and AB are proposed. Some theorems related to the above concepts are stated and proved.
Keywords:
Semi-ring, Interval-valued Intuitionistic Fuzzy k-idealMathematics Subject Classification:
Mathematics- Pages: 751-756
- Date Published: 01-10-2018
- Vol. 6 No. 04 (2018): Malaya Journal of Matematik (MJM)
K.T.Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1)(1986), 87-96.
K.T. Atanassov, G. Gargov, Interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 31(1989), 343-349.
K.R. Balasubramanian and V. Raja, Results on Intuitionistic fuzzy k-ideals of semiring, International Journal of Mathematics and Its Applications, Int. J. Math. And. Appl., 6(1-B)(2018), 297-305.
K.R. Balasubramanian and V.Raja, Interval-valued intuitionistic fuzzy ideal on semi-rings, International Journal of Engineering, Science and Mathematics, 7(3)(2018), $469-477$.
R. Biswas, Rosenfeld's fuzzy subgroups with interval valued membership functions, Fuzzy Sets and Systems, $63(1994), 87-90$
M. L. Das and T. K. Dutta, Extensions of fuzzy ideals of semirings, Annals of Fuzzy Math. and Inf., 12(5)(2016), $679-690$.
T. K. Dutta and B. K. Biswas, Fuzzy prime ideals of a semirirng, Bull. Malays. Math.Sci. Soc., 17(2)(1994), $9-16$.
T. K. Dutta and B. K. Biswas, Fuzzy k-Ideals of semirirngs, Bull. Calcutta Math. Soc., 87(1995), 91-96.
T. K. Dutta and B. K. Biswas, On fuzzy semiprime ideals of a semiring, J. Fuzzy Math., 8(3)(2000), 1-7.
T. K. Dutta and B. K. Biswas, On completely fuzzy semiprime ideals of a semiring, J. Fuzzy Math., $8(3)(2000), 577-581$.
A.M.Ismayil and A.M.Ali, On strong interval-valued intuitionistic fuzzy graph, International Journal of Fuzzy Mathematics and Systems 4(2)(2014), 161-168.
A.M.Ismayil and A.M.Ali, On Complete interval-valued intuitionistic fuzzy graph, Advances in Fuzzy Sets and Systems 18(1)(2014) 71-86.
L.A. Zadeh, Fuzzy sets, Information and Control, 8(1965), 338-353.
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