M. Inuiguchi et M. Sakawa, POSSIBLE AND NECESSARY OPTIMALITY TESTS IN POSSIBILISTIC LINEAR-PROGRAMMING PROBLEMS, Fuzzy sets and systems, 67(1), 1994, pp. 29-46
Citations number
10
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
In this paper, two kinds of optimality concepts are introduced into fu
zzy linear programming problems in order to discuss the rationality of
an obtained solution. One is possible optimality evaluating the possi
bility degree to which the solution is optimal. The other, the dual co
ncept, is necessary optimality evaluating the necessity degree to whic
h the solution is optimal. When possibility distributions are defined
by closed intervals, degrees of possible and necessary optimalities be
come binary. Necessary and sufficient conditions for possible and nece
ssary optimalities are induced in this case. Extending the results, me
thods of calculating the degrees of possible and necessary optimalitie
s are proposed. Some numerical examples are given to demonstrate the p
roposed methods.