In this paper, a Multi-Choice Stochastic Bi-Level programming Problem (MCSBLPP) is considered where all the parameters of constraints are followed by normal distribution. The cost coefficients of the objective functio...
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In this paper, a supplier selection model was developed for a retailer. Suppliers have different influence factors that have a risk of profit loss or less profit as well as a loss of goodwill to a retailer. Thus, a re...
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In this paper, a supplier selection model was developed for a retailer. Suppliers have different influence factors that have a risk of profit loss or less profit as well as a loss of goodwill to a retailer. Thus, a retailer must choose a supplier that can provide better profit and better goodwill. Different suppliers have different business policies. Here, different risk factors and their corresponding severity in profit loss and goodwill loss are considered as a fuzzy number. Next, the total risk in profit loss and goodwill loss is formulated. To select a supplier with the minimum risk, a balanced solution of the soft set theory was applied to a numerical example.
Product reliability is of significant importance in today’s technological world. People rely more and more upon the sustained functioning of machinery and complex equipments for purposes such as health, economic welf...
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In this paper, we investigate six new transportation models with breakability and vehicle cost under some restriction on transported amount. An extra constraint on the total budget at each destination is imposed. Here...
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In this paper, we investigate six new transportation models with breakability and vehicle cost under some restriction on transported amount. An extra constraint on the total budget at each destination is imposed. Here six models are formulated under different environments such as crisp, stochastic and fuzzy. Using expected value of fuzzy number and chance constraint programming technique, we convert the respective fuzzy and random Models into its crisp equivalent. To get the preference of the objective function, we apply weighted sum method and a gradient based optimisation technique-generalised reduced gradient (GRG) method are applied and using LINGO-13 software to get the optimal solutions.
This paper presents a method to construct more general fuzzy complex numbers and sets from ordinary fuzzy complex numbers by introduced the ordered sequences of membership functions. It is concluded that multi fuzzy c...
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Interval-valued fuzzy threshold graph is an extension of fuzzy threshold graph. In this paper, interval-valued fuzzy threshold graph, interval-valued fuzzy alternating 4-cycle, and interval-valued fuzzy threshold dime...
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Interval-valued fuzzy threshold graph is an extension of fuzzy threshold graph. In this paper, interval-valued fuzzy threshold graph, interval-valued fuzzy alternating 4-cycle, and interval-valued fuzzy threshold dimension are defined, and certain properties are studied. It is demonstrated that every interval-valued fuzzy threshold graph can be treated as an interval-valued fuzzy split graph.
In this paper, we consider a mathematical model involving three species namely prey, predator and super predator. Different type functional responses have been considered to formulate the mathematical model for predat...
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The objective of this paper is to develop a new solution methodology for matrix games, in which goals are viewed as intuitionistic fuzzy sets (IFSs) and the elements of the pay-off matrix are represented by triangular...
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The objective of this paper is to develop a new solution methodology for matrix games, in which goals are viewed as intuitionistic fuzzy sets (IFSs) and the elements of the pay-off matrix are represented by triangular intuitionistic fuzzy numbers (TIFNs). In this methodology, a suitable ranking function is defined to establish an order relation between two TIFNs, and the concept of intuitionistic fuzzy (I-fuzzy) inequalities is interpreted. Utilizing these inequality relations and ranking functions, a pair of linear programming models is derived from a pair of auxiliary intuitionistic fuzzy programming models. Based on the aspiration levels, this pair of linear programming models is solved to determine the optimal strategies for both players of the game. The proposed method in this paper is illustrated with a voting share problem to demonstrate the validity and applicability of the method.
In this work, a new similarity measure was proposed based on the heights and areas of interval-valued trapezoidal fuzzy numbers. Some properties corresponding to the proposed similarity measure were illustrated. A com...
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In this work, a new similarity measure was proposed based on the heights and areas of interval-valued trapezoidal fuzzy numbers. Some properties corresponding to the proposed similarity measure were illustrated. A comparison with the different existing similarity-measurement techniques demonstrated that the proposed method gave better results, overcoming the drawbacks of the existing methods. The proposed similarity-measurement technique was applied to the prediction of risk in the burning problem of Familial Breast Cancer (FBC). Finally, a numerical illustration for FBC was given using interval-valued trapezoidal fuzzy numbers.
This paper deals with the multi-choice transportation problem (TP) in which the parameters of the TP such as the cost coefficients of the objective function, supplies and demands of the constraints are all followed mu...
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