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Numerical solution of fuzzy linear equations in engineering analysis
Author(s) -
Rao S. S.,
Chen Li
Publication year - 1998
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19981015)43:3<391::aid-nme417>3.0.co;2-j
Subject(s) - fuzzy logic , numerical analysis , mathematics , mathematical optimization , computer science , linear system , linear equation , system of linear equations , selection (genetic algorithm) , algorithm , artificial intelligence , mathematical analysis
A computational methodology is presented for the solution of simultaneous linear equations that arise in the analysis of engineering systems involving fuzzy input parameters. In addition to a discussion on the existence of solution to the problem, the numerical solution to the fuzzy linear systems is defined and formalized. The framework of the proposed methodology consists of three major aspects involving (1) computerized selection of fuzziness, (2) implementation of fuzzy operations and (3) development and execution of a search‐based algorithm. Two numerical examples are presented to illustrate the computational aspects of the proposed methodology. The present results are compared to those given by the combinatorial approach. © 1998 John Wiley & Sons, Ltd.