Paper Info
Title
The Shape of the Optimal Value of a Fuzzy Linear Programming Problem.
Abstract
We investigate the shape of the optimal value of a linear programming problem with fuzzy-number coefficients. We build on the classical and also very recent results from interval linear programming as well as from parametric programming. We show that under general assumptions the optimal value is a well-defined fuzzy number. Its shape is piecewise polynomial provided the shape of the input fuzzy coefficients are polynomial. We also show in particular that the optimal value shape is triangular as long as the following conditions are satisfied: the input fuzzy numbers are triangular and affect only the objective function or the right-hand side, and the problem is so called basis stable.
Year
DOI
Venue
2017
10.1007/978-3-319-67137-6_31
FUZZY LOGIC IN INTELLIGENT SYSTEM DESIGN: THEORY AND APPLICATIONS
Field
DocType
Volume
Fuzzy classification,Fuzzy set operations,Computer science,Fuzzy transportation,Artificial intelligence,Fuzzy number,Piecewise,Linear-fractional programming,Discrete mathematics,Mathematical optimization,Defuzzification,Parametric programming,Machine learning
Conference
648
ISSN
Citations 
PageRank 
2194-5357
0
0.34
References 
Authors
2
2
Name
Order
Citations
PageRank
Milan Hladík126836.33
Michal Černý2205.12