Interval-valued fuzzy ideals generated by an interval-valued fuzzy subset in semigroups

Narayanan, Al.; Manikantan, T.

doi:10.1007/bf02831952

Cited by 33 publications

(17 citation statements)

References 6 publications

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“…In [18], Zadeh also constructed a method of approximate inference using his interval-valued fuzzy subsets. In [13], Narayanan and Manikantan introduced the notions of interval-valued fuzzy ideals generated by an interval-valued fuzzy subset in semi-groups. Shabir and Khan [16] have studied about interval-valued fuzzy ideals generated by an interval-valued fuzzy subset in ordered semi-groups.…”

Section: Introductionmentioning

confidence: 99%

Interval-valued Q-Fuzzy Ideals Generated by an Interval-valued Q-Fuzzy Subset in Ordered Semi-groups

Murugadas¹,

Arikrishnan²,

Thirumagal³

2017

APAM

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Section: Introductionmentioning

confidence: 99%

Interval-valued Q-Fuzzy Ideals Generated by an Interval-valued Q-Fuzzy Subset in Ordered Semi-groups

Murugadas¹,

Arikrishnan²,

Thirumagal³

2017

APAM

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“…Let   S and "  " be an associative binary operation on S , then ) , (  S is knows as a semigroup. Narayanan and Manikantan [8] employed I-V-FS theory in semigroup and initiated the concepts of I-V fuzzy ideals. They further characterized semigroups in terms these I-V fuzzy ideals.…”

Section: Introductionmentioning

confidence: 99%

“…Extending the concept of [8] to ordered semigroups Shabir and Khan [9] and defined the concepts of I-V fuzzy ideals. Consider , then  y is said to quasi-coincident with A .…”

Section: Introductionmentioning

confidence: 99%

A New Type of Interval-valued Fuzzy Filters of Ordered Semigroups

Khan

et al. 2017

Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)

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“…The fuzzy concept was first time applied by A. Rosenfeld in his definitive paper [33] in 1971 and he defined fuzzy subgroup of a group. In [32], Narayanan and Manikantan initiated the notion of interval valued fuzzy ideals in semigroup. In 2008, Shabir and Khan introduced the concept of interval valued fuzzy ideals generated by interval valued fuzzy subset in ordered semigroup.…”

Section: Introductionmentioning

confidence: 99%

Interval valued (α, β)-intuitionistic fuzzy ideals in hemirings

Abdullah

Aslam

Hedayati

2014

Journal of Intelligent &Amp; Fuzzy Systems

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In this paper, we introduced the concept interval valued intuitionistic fuzzy point. We combine the concept of an interval valued intutionistic fuzzy set with interval valued intuitionistic fuzzy point, to introduce the notion of an (α, β)-intuitionistic fuzzy sub-hemiring (left, right, two sided) ideal of hemirings, where α, β are any two of {∈, q, ∈ ∨q, ∈ ∧q} with α / = ∈ ∧q. Moreover, we define prime (semiprime) interval valued (α, β)-intuitionistic fuzzy ideals of hemirings and investigate some different properties of these ideals.

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Interval-valued fuzzy ideals generated by an interval-valued fuzzy subset in semigroups

Cited by 33 publications

References 6 publications

Interval-valued Q-Fuzzy Ideals Generated by an Interval-valued Q-Fuzzy Subset in Ordered Semi-groups

Interval-valued Q-Fuzzy Ideals Generated by an Interval-valued Q-Fuzzy Subset in Ordered Semi-groups

A New Type of Interval-valued Fuzzy Filters of Ordered Semigroups

Interval valued (α, β)-intuitionistic fuzzy ideals in hemirings

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