Research Article

Ranking of Hexagonal Fuzzy Numbers for Solving Multiobjective Fuzzy Linear Programming Problem

by  Rajarajeswari. P, Sahaya Sudha. A
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 84 - Issue 8
Published: December 2013
Authors: Rajarajeswari. P, Sahaya Sudha. A
10.5120/14595-2834
PDF

Rajarajeswari. P, Sahaya Sudha. A . Ranking of Hexagonal Fuzzy Numbers for Solving Multiobjective Fuzzy Linear Programming Problem. International Journal of Computer Applications. 84, 8 (December 2013), 14-19. DOI=10.5120/14595-2834 

                        @article{ 10.5120/14595-2834,
                        author  = { Rajarajeswari. P,Sahaya Sudha. A },
                        title   = { Ranking of Hexagonal Fuzzy Numbers for Solving Multiobjective Fuzzy Linear Programming Problem },
                        journal = { International Journal of Computer Applications },
                        year    = { 2013 },
                        volume  = { 84 },
                        number  = { 8 },
                        pages   = { 14-19 },
                        doi     = { 10.5120/14595-2834 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2013
                        %A Rajarajeswari. P
                        %A Sahaya Sudha. A
                        %T Ranking of Hexagonal Fuzzy Numbers for Solving Multiobjective Fuzzy Linear Programming Problem%T 
                        %J International Journal of Computer Applications
                        %V 84
                        %N 8
                        %P 14-19
                        %R 10.5120/14595-2834
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper a ranking Procedure based on Hexagonal Fuzzy numbers, is applied to a Multi-objective Linear programming problem (MOLPP) with fuzzy coefficients. By this ranking method any Multiobjective Fuzzy Linear Programming problem (MOFLPP) can be converted in to a crisp value problem to get an optimal solution. This method provides an insight for the planner due to uncertain environment in an organizational Economics. In an organization, where a number of alternatives and variables such as production, inventory, financial management, costing and various other parameters are involved, this ranking procedure serves as an efficient method wherein a numerical example is also taken and the inference is given.

References
  • Bellman R. E and . Zadeh L. A, Decision making in a fuzzy environment, Management science 17(1970), 141-164
  • Chanas D. , Fuzzy programming in multi objective linear programming-a parametric Approach, Fuzzy set and system29 (1989) 303-313.
  • George J. klir, Boyuan, Fuzzy sets and Fuzzy logic Theory and Applications-Prentice-Hall Inc (1995) 574p
  • Ishibuchi; Tanaka, Multi objective programming in optimization of the interval objective function, European journal of Operational Research48 (1990), 219-225
  • Lai Y. J – Hawng C. L, Fuzzy mathematical programming, lecture notes in Economics and Mathematical systems, Springer-Verlag, (1992)
  • S. H Nasseri,A new method for solving fuzzy linear programming by solving linear programming . Applied Mathematical Sciences, 2 (2008) ,37-46
  • Qiu-Peng Gu. , Bing-Yuan Cao Approach to linear programming with fuzzy coefficients based on Fuzzy numbers distance, IEEE Transactions, 447-450. (2005)
  • Rajerajeswari. P and Sahaya Sudha A ,Multiobjective Fuzzy Optimization Techniques in Production Planning Process ,Proc. of the Heber International conference on Applications of Mathematics and Statistics, Tiruchirappalli,India(2012),370-374
  • Rajerajeswari. P and Sahaya Sudha A and Karthika. R A new Operations on hexagonal fuzzy number International Journal of Fuzzy Logic Systems (IJFLS) Vol. 3, No3, July2013
  • Sophiya Porchelvi R. , Nagoorgani . A. Irene Hepzibah . R An Algorthimic Approach to Multiobjective Fuzzy Linear Programming Problem
  • Tanaka H. , . Asai K. , Fuzzy linear programming problems with fuzzy numbers, Fuzzy Sets and Systems13 (1984), 1-10.
  • Tanaka H. , . Okuda . T and Asai K. , Fuzzy Mathematical Programming, Journal of Cybernetics and systems, 3(1973), 37-46
  • Tong Shaocheng, Interval number and fuzzy number linear programming, Fuzzy Sets and systems 66 (1994), 301-306.
  • Verdegay, J. L. A dual approach to solve the fuzzy linear programming problem, Fuzzy sets and Systems, 14(1984), 131-141
  • Zadeh, L. A (1965). "Fuzzy sets. "Inf. control, 8,338-353
  • Zeleny, M. Multiple criteria decision making. New York: McGraw-Hill Book Company, 1982
  • Zimmermann H. J, Fuzzy programming and linear programming with several objective functions, Fuzzy sets and system1 (1978), 45-55.
  • Zimmermann H. J, Fuzzy mathematical programming, Computer Science &operations Research Vol. 10, No4, (1983)291-298.
  • Zimmermann H. J, (1985). Application of Fuzzy set theory to Mathematical Programming
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Ranking Hexagonal fuzzy numbers MOFLPP Decision making.

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