Sankar Kumar Roy

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In this chapter, the authors propose a new approach to analyze the Solid Transportation Problem (STP). This new approach considers the multi-choice programming into the cost coefficients of objective function and stochastic programming, which is incorporated in three constraints, namely sources, destinations, and capacities constraints, followed by Cauchy’s(More)
ABSTRACT In this paper the entropy function of the matrix game has been considered as one of the objectives and formulate a new game model, named Entropy Matrix Goal Game Model. Non-linear programming model for each player has been established. The equilibrium condition on matrix game is based on expected pay-off, so this equilibrium condition might be(More)
This paper analyzes a multicriteria matrix goal game under entropy environment. Here a new game model known as multicriteria entropy matrix goal Game is formulated. Multiobjective non-linear programming model for each player is established. The concept of Pareto-optimal security strategy assures the property of security in the individual criteria against an(More)
This paper analyzes the multicriteria bimatrix goal game under the light of entropy environment. In this approach, the entropy functions of the players are considered as objectives to the bimatrix game. The solution concepts behind this game are based on getting the probability to achieve some specified goals by determining G-goal security strategies(More)
This paper presents the study of modular lattice under rough set environment and referred to herein a concept is called rough modular lattice. We study the properties of lattice in an approximation space and defined as rough lattice, rough sublattice and bounded rough lattice. We consider the approximation space by means of an equivalence relation and also(More)