An Algorithmic Approach to Fuzzy Linear and Complementarity Problems

Most of the real life problems exhibit properties of multi-objectivity and fuzziness in nature. The book entitled "AN ALGORITHMIC APPROACH TO FUZZY LINEAR AND COMPLEMENTARITY PROBLEMS" analyses multi-objective optimization, linear complementarity and quadratic programming problems in fuzzy environment and it comprises six chapters. Certain fundamental concepts, definitions of fuzzy set theory and linear complementarity theory related to the book are provided in Chapter 1.Different Solution methodologies for solving multi-objective fuzzy linear programming problems with interval number coefficients are provided in Chapters 2 and 3.Chapter 4 formulates linear complementarity problems and parametric linear complementarity problems with fuzzy numbers. Further, algorithms have been developed to solve them. Chapter 5 presents a Taylor series approach to solve multi-objective fuzzy quadratic programming problems.Chapter 6 confers new algorithms for solving fuzzy quadratic programming problems. Finally in each chapter,to reinforce the ideas described and to reveal the validity of the proposed methods,numerical examples are given together with the outputs through the software MATLAB 7.0.