A Subjective and Objective Constructing Approach for Reasonable Membership Function Based on Mathematical Programming

Takashi Hasuike, Hideki Katagiri

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper proposes a strict constructing approach for a reasonable membership function as objectively as possible. It is important to set a reasonable membership function to parameters for real-world decision making interactively and objectively. The main contribution of our proposed approach is to integrate a general continuous function derived from mathematical programming under a given probability density function based on real-world data into subjective interval estimation by a heuristic method. The interval estimation is to set intervals that a decision maker confidently judges whether an element is completely or never included in the given set. The main steps of our proposed approach are to solve the mathematical programming problem in terms of objectivity. It is hard to solve the problem with nonlinear function directly and efficiently. In this paper, the given nonlinear membership function is approximately transformed into a piecewise linear membership function, and the appropriate membership values are determined based on the strict optimal solution.

Original languageEnglish
Title of host publicationProceedings - 2016 Joint 8th International Conference on Soft Computing and Intelligent Systems and 2016 17th International Symposium on Advanced Intelligent Systems, SCIS-ISIS 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages59-64
Number of pages6
ISBN (Electronic)9781467390415
DOIs
Publication statusPublished - 2016 Dec 28
Event8th Joint International Conference on Soft Computing and Intelligent Systems and 17th International Symposium on Advanced Intelligent Systems, SCIS-ISIS 2016 - Sapporo, Hokkaido, Japan
Duration: 2016 Aug 252016 Aug 28

Publication series

NameProceedings - 2016 Joint 8th International Conference on Soft Computing and Intelligent Systems and 2016 17th International Symposium on Advanced Intelligent Systems, SCIS-ISIS 2016

Other

Other8th Joint International Conference on Soft Computing and Intelligent Systems and 17th International Symposium on Advanced Intelligent Systems, SCIS-ISIS 2016
CountryJapan
CitySapporo, Hokkaido
Period16/8/2516/8/28

Keywords

  • constructing algorithm
  • mathematical programming
  • membership function
  • objectivity

ASJC Scopus subject areas

  • Control and Optimization
  • Artificial Intelligence
  • Software
  • Computational Mathematics
  • Modelling and Simulation

Fingerprint Dive into the research topics of 'A Subjective and Objective Constructing Approach for Reasonable Membership Function Based on Mathematical Programming'. Together they form a unique fingerprint.

Cite this