Optimization in business strategy as a part of sustainable economic growth using clique covering of fuzzy graphs.

In this paper, new concepts to use clique covering of a fuzzy graph are introduced for optimization of parameters involved in business strategy. For this purpose, four algorithms are designed for finding necessary parameters and sets of a fuzzy graph which is helpful for constructing a cordon of linear programming problems. The linear programming problems are constructed with suitable optimization functions and constraints. The strengths of the cliques present in fuzzy graph get a new look in this paper. Facility location problems are characterized and solved with a new strategy optimization problems by using concept of clique covering of fuzzy graphs for a smooth business strategy to have a maximized total gain. This optimization process will help for developing a part of sustainable economic growth all over the world. Some new definitions are given with relevant examples of fuzzy graphs. An illustration is given to elaborate all mathematical terminologies. Also, a real-life application to optimize different parameters in a business network by solving the programming problems with the help of the mathematical software "LINGO" keeping the fuzziness of the parameters involved in the considered fuzzy graph. [ABSTRACT FROM AUTHOR]