C-prime Fuzzy bi-ideals in Gamma Near-rings

Kumari, Meena; Chelvam, T. Tamizh

doi:10.20454/ijas.2013.728

Cited by 4 publications

(7 citation statements)

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“…x ∈ W, y W and z W (7). x W, y ∈ W and z W (8). x W, y W and z W. These cases can be proved by arguments similar to the fuzzy cases above.…”

mentioning

confidence: 72%

“…Definition 2.3. [8] A Γ-near-ring M is said to be zero-symmetric if xα0 = 0 for all x ∈ M and α ∈ Γ.…”

Section: Preliminariesmentioning

confidence: 99%

“…Moreover, Manikantan [6] introduced the notion of fuzzy bi-ideals of near-rings and discussed the some of its properties. Meenakumari et al [8] studied th fuzzy bi-ideals in gamma -near-rings. Cho et al [14] introduced the concept of weak bi-ideals applied to near-rings.…”

Section: Introductionmentioning

confidence: 99%

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Characterization of fuzzy weak bi-ideals of gamma-near-rings

Chinnadurai¹,

Arulmozhi²,

Kadalarasi³

2017

Int. J. of Algeb. and Stat.

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“…x ∈ W, y W and z W (7). x W, y ∈ W and z W (8). x W, y W and z W. These cases can be proved by arguments similar to the fuzzy cases above.…”

mentioning

confidence: 72%

“…Definition 2.3. [8] A Γ-near-ring M is said to be zero-symmetric if xα0 = 0 for all x ∈ M and α ∈ Γ.…”

Section: Preliminariesmentioning

confidence: 99%

See 1 more Smart Citation

Characterization of fuzzy weak bi-ideals of gamma-near-rings

Chinnadurai¹,

Arulmozhi²,

Kadalarasi³

2017

Int. J. of Algeb. and Stat.

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show abstract

“…Many researchers paid their attention toward this direction. ayyappan &Shyamala [1], Choudhury & Paul [4], Thangaraj &Vanitha [11] and Kumari &Garg [5] studied a number of queueing systems with feedback.…”

Section: Introductionmentioning

confidence: 99%

“…The busy period is the time measured between the instant a customer arrives to an empty system and the instant a last customer departs and leaving the system empty. avignon &Disney [1], Thangaraj &Vanitha [11], Perry &asmussen [6], Perry et.al [7], bertsimas et al [3] and Kumari and Garg [5] analysed the busy period of the various queueing systems.…”

Section: Introductionmentioning

confidence: 99%

Graphical Solution and Busy Period Analysis of a Queueing Model With Feedback and Reneging

Jindal

Garg

Kaur

2015

MJIS

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In the present paper, a busy period of a feedback queueing model is studied. The busy period is to begin with the arrival of customer to an idle system and to an end when the system next becomes idle. The customers arrive according to poisson process and are served by a single server according to an exponential distribution. Sometimes the customers get impatience and leave the queue without getting service with fixed probability. The probability generating function of busy period by using laplace transformation and the graphical solution of the problem are obtained. Few interesting cases are also derived to match our results with earlier published work.

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Spherical Cubic Bi-Ideals of Gamma Near-Ring

Chinnadurai

Shakila

2021

Comm. Math. Appl.

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The purpose of the article is to study about spherical cubic sets and spherical cubic bi-ideals of Gamma near-ring R. We define spherical internal and external cubic sets and their properties. We discuss P-order and R-order, P-union, P-intersection, R-union and R-intersection of spherical cubic sets. We define spherical cubic bi-ideals of gamma near-ring R and prove that P-union, P-intersection, R-union and R-intersection of spherical cubic bi-ideals of Gamma near-ring R are also spherical cubic bi-ideals of Gamma near-ring R.

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C-prime Fuzzy bi-ideals in Gamma Near-rings

Cited by 4 publications

References 0 publications

Characterization of fuzzy weak bi-ideals of gamma-near-rings

Characterization of fuzzy weak bi-ideals of gamma-near-rings

Graphical Solution and Busy Period Analysis of a Queueing Model With Feedback and Reneging

Spherical Cubic Bi-Ideals of Gamma Near-Ring

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