Certain approaches for solving Intuitionistic fuzzy linear Programming problems

Abstract

Linear programming is one of the most important techniques in newlineoperations research The classical Linear Programming Problem LPP is to newlinefind the minimum or maximum values of a linear function under constraints newlinerepresented by linear inequalities or equations In many practical situations it newlineis not reasonable to require that the constraints or objective function in linear newlineprogramming problems be specified in precise and crisp terms In such newlinesituations it is desirable to use some type of Fuzzy Linear Programming newlineProblem FLPP In the daily life situations people frequently deal with newlinevague or imprecise information Out of several higher order Fuzzy sets newlineIntuitionistic Fuzzy sets IFS have been found to be very useful to deal with newlinevagueness IFS is characterized by a membership function and a newlinenon membership function so that the sum of both values is less than one newlineIntuitionistic fuzzy set is applied in many fields such as medical diagnosis newlinedecision making and logic programming The research reported in the thesis newlinedeals with a study of various types of solving Intuitionistic Fuzzy Linear newlineProgramming Problem IFLPP newlineThe main objective of the thesis is solving FLPP and IFLPP newlinedirectly without converting it to crisp linear programming problem and taking newlineall the variables as fuzzy numbers and intuitionistic fuzzy numbers newline newline