Encyclopedia of Information Science and Technology, Third Edition , Mehdi Khosrow-Pour D.B.A., Editör, IGI Global, Pennsylvania, ss.6981-6989, 2015
Systems of linear equations play a major role in various
areas such as operational research, physics, statistics,
engineering and social sciences. In many applications,
the parameters of linear equation systems are not always exactly known and stable. This imprecision may
follow from the lack of exact information, changeable
economic conditions, etc.. A frequently used way of
expressing the imprecision is to use the fuzzy numbers
rather than the crisp numbers. It enables us to consider
tolerances for parameters of linear equation systems
(the entries of the coefficient matrix and right hand
side vector) in a more natural and direct way. Therefore,
fuzzy linear equation systems seem to be more realistic
and reliable than the crisp case.
This study has attempted to provide a short review
of notable papers on fuzzy linear equation systems with
a basic structural classification. Considering the vast
literature, we only aim to present the most cited and
leading papers for each classification. Our short review
will give a general framework about the progression
of the subject and its solution approaches.