iosr-Jm   Volume-11 ~ Issue-2 ~ Mar-Apr 2015

Abstract: In this paper, the fuzzy variational formulation will be introduced and derived. This paper is about studying variational problems with fuzzy functions, fuzzy condition and fuzzy boundaries by using different approaches for defuzzification, such as centroid method, 𝛼-cut method, centroid point and expected interval in which fuzzy sets have been transformed into crisp sets and finding the necessary conditions for extremizing the fuzzy variational problems with fuzzy function and fuzzy boundaries

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Abstract: We consider an extension to the lost sale recapture model in a newsvendor framework developed earlier by the authors. As in real practice, we have considered that there may be an opportunity to backlog the lost sales, by offering some incentive for waiting. The back log fill rate is modelled as a log function of adding one to the proportion of rebate relative to the price. The retailer's decision includes selling price, order quantity and the rebate that will maximize its expected profit. Sensitivities of the demand errors in the form of beta distribution rather than the uniform and the normal distribution serve as an extension to the previous work by the authors.
Keywords : newsvendor problem, lost sales, rebates, price dependent demand, beta distribution

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Abstract: In this paper we define the inequalities for the classes k-USH() and k-HCV() are considered and obtain inequality for G(z). A class k-USH() is the class of k uniformely harmonic starlike function of order ().and the class k-HCV() is the class of k uniformely convex function of order ().These two classes are obtained by the generalization of class k-USH(,,) [8].
Keywords: Harmonic,uniformely starlike, uniformely convex, salagean.

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Abstract: The aim of this paper is to introduce two new classes of functions, namely slightly continuous functions and totally 𝑆𝑔
continuous functions and study its properties. Mathematics Subject Classification: 54A05

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