Binary behavior of fuzzy programming with piecewise linear membership functions

Ching Ter Chang*

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

5 Scopus citations

Abstract

The nature of vagueness, imprecision, and uncertainly is fuzzy rather than crisp and/or random, especially for a multiple objectives decision-making problem. A key component of fuzzy programming is the membership function that represents a mathematical expression of level function for the decision-maker's preference. In fact, a decision-making problem involves the achievement of fuzzy goals, some of which are met while others are not because these fuzzy goals are subject to real-world constraints. To represent this situation, the binary piecewise linear membership function is then employed. In order to solve the problem, we propose a new idea of how to formulate the binary piecewise linear membership function. The formulated problem can be easily solved using common integer programming packages. In addition, an illustrative example is included for demonstrating the usefulness of the proposed model. Finally, the analytical superiority of the proposed method in terms of the execution time can be seen, through a computation experiment conducted on a set of generated test examples.

Original languageEnglish
Pages (from-to)710-717
Number of pages8
JournalIEEE Transactions on Fuzzy Systems
Volume15
Issue number4
DOIs
StatePublished - 08 2007
Externally publishedYes

Keywords

  • Fuzzy programming
  • Nonlinear membership function

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