|
|||||
|
|
Polyhedral representation of fuzzy linear bases |
|
| Authors: | P. Z. Wang R. Östermark R. Alex S. H. Tan |
| Affiliation: | AEI, West Texas A & M University, BOX 248, Canyon TX 79016, USA, US ?bo Akademi University, Department of Business Administration, Henriksgatan 7, FIN-20500 ?BO, Finland E-mail: ralf.ostermark@abo.fi, FI Department of Mathematics, West Texas A & M University, Canyon TX 79016, USA, US Department of Computer Science, Beijing University, Beijing 100080, China, CN |
| Abstract: | In [15], we introduced the concepts of fuzzy bases, fuzzy linear interpolation and fuzzy polygon of four-component fuzzy linear bases. In [16], these concepts were used in the maximal profile of the set of polygons generated from a set of break points for each variable dimension. Theconcept was operationalized in a fuzzy linear basis algorithm (FLBA) for nonlinear separable programming problems involving no more than a finite number of discontinuities. The FLBA provides a powerful platform forparallel processing of the fuzzy linear sub-problems included in the finite FLB-chain. In this paper we extend the theory of fuzzy linear bases from the set of polygons toapolyhedral representation of four-component fuzzy linear bases defined on a closed subset of the real line. |
| Keywords: | Fuzzy linear bases Fuzzy interpolation Maximal profile Polygon of fuzzy linear bases Polyhedral representation Nonlinear separable programming |
| 本文献已被 SpringerLink 等数据库收录！ | |