TOPSIS Approach for Solving Bi-Level Non-Linear Fractional MODM Problems
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2017, Vol 13, Issue 4
Abstract
TOPSIS (technique for order preference similarity to ideal solution) is considered one of the known classical multiple criteria decision making (MCDM) methods to solve bi-level non-linear fractional multi-objective decision making (BL-NFMODM) problems, and in which the objective function at each level is considered nonlinear and maximization type fractional functions. The proposed approach presents the basic terminology of TOPSIS approach and the construction of membership function for the upper level decision variable vectors, the membership functions of the distance functions from the positive ideal solution (PIS) and of the distance functions from the negative ideal solution (NIS). Thereafter a fuzzy goal programming model is adopted to obtain compromise optimal solution of BL-NFMODM problems. The proposed approach avoids the decision deadlock situations in decision making process and possibility of rejecting the solution again and again by lower level decision makers. The presented TOPSIS technique for BL-NFMODM problems is a new fuzzy extension form of TOPSIS approach suggested by Baky and Abo-Sinna (2013) (Applied Mathematical Modelling, 37, 1004-1015, 2013) which dealt with bi -level multi-objective decision making (BL-MODM) problems. Also, an algorithm is presented of the new fuzzy TOPSIS approach for solving BL-NFMODM problems. Finally, an illustrative numerical example is given to demonstrate the approach.
Authors and Affiliations
MAHMOUD A ABO-SINNA, AZZA H AMER
Keywords
Related Articles
- EP ID EP651827
- DOI 10.24297/jam.v13i4.6243
- Views 178
- Downloads 0
Incompressibility and Existence of Navier- Stokes Equations
In this paper, we represents incompressible Navier-Stokes equations, i.e. fluid is incompressible in the domain . Navier-Stokes equations have wide applications in fluid mechanics, air and sea navigation. Mathematicians...
Left fixed maps and a-derivations of a KU-algebra
In This paper, we introduce the concept of a left fixed map in a KU-algebra and we discuss some related properties of this concept. Moreover, we study the notion of leftright (resp., right-left) -derivation in a KU...
Stability Analysis of Gompertz tumour growth model Parameters
The stability analysis of Gompertz tumour growth model Parameter with respect to the tumour volume size leads us to conclude the constancy of Gompertz tumour growth parameter.
Gravity Variations in the Kingdom of Saudi Arabia
The class of life distributions used better than aged in convex order upper tail ordering (UBACT) is introduced. A Moment inequality to this class (UBACT) of life distribution is given. In addition testing exponentiality...
The solvable subgroups of large order of L2(p) , p≥5
By using the following theoretical and computational algorithms , we determined the solvable subgroups of large order of the finite non-abelian simple linear groups G = L2(p) = PSL(2,p) , for p≥5 and p is a prime numbe...