The Relationship Between Intuitionistic Fuzzy Programming and Goal Programming

One of the generalizations of fuzzy programming (FP) is intuitionistic fuzzy programming (IFP). IFP and goal programming (GP) are two important techniques for determining the solution (optimal) of multi-objective optimization problem by transforming it to a single objective one. The main purpose of this article is to introduce the similarities between IFP and GP. In this work, the max and min-operator are considered to transform the IFP to a deterministic program. One example is given to show the applicability of the proposed theory.

[1]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[2]  Shiv Prasad Yadav,et al.  Modeling and optimization of multi objective non-linear programming problem in intuitionistic fuzzy environment , 2015 .

[3]  Carlos Romero,et al.  A survey of generalized goal programming (1970–1982) , 1986 .

[4]  Sang M. Lee,et al.  Goal programming for decision analysis , 1972 .

[5]  Harish Garg,et al.  Multi-objective non-linear programming problem in intuitionistic fuzzy environment: Optimistic and pessimistic view point , 2016, Expert Syst. Appl..

[6]  Mehrdad Tamiz,et al.  A review of Goal Programming and its applications , 1995, Ann. Oper. Res..

[7]  H. Zimmermann.  Fuzzy programming and linear programming with several objective functions , 1978 .

[8]  Nils Brunsson.  My own book review : The Irrational Organization , 2014 .

[9]  Sandeep Kumar,et al.  Max-min Solution Approach for Multi-objective Matrix Game with Fuzzy Goals , 2016 .

[10]  Shiv Prasad Yadav,et al.  Fuzzy Programming Approach for Solving Intuitionistic Fuzzy Linear Fractional Programming Problem , 2015, Int. J. Fuzzy Syst..

[11]  Harish Garg,et al.  Intuitionistic fuzzy optimization technique for solving multi-objective reliability optimization problems in interval environment , 2014, Expert Syst. Appl..

[12]  Madhumangal Pal,et al.  Intuitionistic Fuzzy Optimization Technique for Nash Equilibrium Solution of Multi-objective Bi-Matrix Games , 2011 .

[13]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[14]  A. Aggarwal,et al.  On solving Atanassov’s I-fuzzy linear programming problems: some variants of Angelov’s model , 2016 .

[15]  Plamen P. Angelov,et al.  Optimization in an intuitionistic fuzzy environment , 1997, Fuzzy Sets Syst..

[16]  Abraham Charnes,et al.  Management Models and Industrial Applications of Linear Programming , 1961 .

[17]  A. Charnes,et al.  Goal programming and multiple objective optimizations: Part 1 , 1977 .

[18]  Hideo Tanaka,et al.  On Fuzzy-Mathematical Programming , 1973 .

[19]  Ramadan Hamed Mohamed.  The relationship between goal programming and fuzzy programming , 1997, Fuzzy Sets Syst..

[20]  James P. Ignizio,et al.  ON THE (RE)DISCOVERY OF FUZZY GOAL PROGRAMMING , 1982 .