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Polyhedral representation of fuzzy linear bases

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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.

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Authors and Affiliations

  1. AEI, West Texas A & M University, BOX 248, Canyon TX 79016, USA, , , , , , US

    P. Z. Wang

  2. Åbo Akademi University, Department of Business Administration, Henriksgatan 7, FIN-20500 ÅBO, Finland E-mail: ralf.ostermark@abo.fi, , , , , , FI

    R. Östermark

  3. Department of Mathematics, West Texas A & M University, Canyon TX 79016, USA, , , , , , US

    R. Alex

  4. Department of Computer Science, Beijing University, Beijing 100080, China, , , , , , CN

    S. H. Tan

Authors
  1. P. Z. Wang
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  2. R. Östermark
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  3. R. Alex
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  4. S. H. Tan
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Wang, P., Östermark, R., Alex, R. et al. Polyhedral representation of fuzzy linear bases. Soft Computing 5, 208–214 (2001). https://doi.org/10.1007/s005000100083

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  • DOI: https://doi.org/10.1007/s005000100083

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