International Journal of Engineering, Science and Mathematics
  • Year: 2013
  • Volume: 2
  • Issue: 2

Fuzzy assignment problem based on trapezoidal approximation

  • Author:
  • S. Rajaram, N. Deepa, V. Saraswathi
  • Total Page Count: 13
  • Page Number: 93 to 105

Department of Mathematics, Sri S.R.N.M.College, Sattur, Tamil Nadu

Online published on 12 November, 2013.

Abstract

In the fuzzy optimization problem researchers used triangular, trapezoidal, LR fuzzy numbers etc. Most of the results depend upon the shape of the fuzzy numbers when operating with fuzzy numbers. Less regular membership functions leads to more complex calculations. Trapezoidal approximation of fuzzy number is adopted for any given fuzzy number. In this paper authors analysed which type of fuzzy number is best in zero's and one's method of assignment problem. Numerical examples show that the assignment problem handling LR fuzzy numbers with trapezoidal approximation is an effective one in zero's assignment.

Keywords

LR fuzzy number, Zero's and one's assignment, Trapezoidal approximation, Yager's ranking index