Incorporating optimisation technique into Zadeh's extension principle for computing non-monotone functions with fuzzy variable

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

This paper proposes a new computational method for computing non-monotone Junctions that take a fuzzy interval as their arguments. The proposed method represents an implementation of optimisation technique into Zadeh's extension principle. By taking into account the dependency problem that exists in fuzzy environment, the proposed method can avoid the effect of overestimation in computation. This problem usually arises when the same fuzzy interval is computed separately in fuzzy interval computation. The proposed method is simple to use and can be implemented in many practical applications. In order to show the capability of the proposed method, several non-monotone functions with trapezoidal fuzzy intervals are studied.

Original languageEnglish
Pages (from-to)643-650
Number of pages8
JournalSains Malaysiana
Volume40
Issue number6
Publication statusPublished - Jun 2011

Fingerprint

Computational methods

Keywords

  • Fuzzy set
  • Optimisation
  • Zadeh's extension principle

ASJC Scopus subject areas

  • General

Cite this

@article{d2839c05f5944faaaac0acbaa59b126f,
title = "Incorporating optimisation technique into Zadeh's extension principle for computing non-monotone functions with fuzzy variable",
abstract = "This paper proposes a new computational method for computing non-monotone Junctions that take a fuzzy interval as their arguments. The proposed method represents an implementation of optimisation technique into Zadeh's extension principle. By taking into account the dependency problem that exists in fuzzy environment, the proposed method can avoid the effect of overestimation in computation. This problem usually arises when the same fuzzy interval is computed separately in fuzzy interval computation. The proposed method is simple to use and can be implemented in many practical applications. In order to show the capability of the proposed method, several non-monotone functions with trapezoidal fuzzy intervals are studied.",
keywords = "Fuzzy set, Optimisation, Zadeh's extension principle",
author = "Ahmad, {M. Z.} and Hasan, {Mohammad Khatim}",
year = "2011",
month = "6",
language = "English",
volume = "40",
pages = "643--650",
journal = "Sains Malaysiana",
issn = "0126-6039",
publisher = "Penerbit Universiti Kebangsaan Malaysia",
number = "6",

}

TY - JOUR

T1 - Incorporating optimisation technique into Zadeh's extension principle for computing non-monotone functions with fuzzy variable

AU - Ahmad, M. Z.

AU - Hasan, Mohammad Khatim

PY - 2011/6

Y1 - 2011/6

N2 - This paper proposes a new computational method for computing non-monotone Junctions that take a fuzzy interval as their arguments. The proposed method represents an implementation of optimisation technique into Zadeh's extension principle. By taking into account the dependency problem that exists in fuzzy environment, the proposed method can avoid the effect of overestimation in computation. This problem usually arises when the same fuzzy interval is computed separately in fuzzy interval computation. The proposed method is simple to use and can be implemented in many practical applications. In order to show the capability of the proposed method, several non-monotone functions with trapezoidal fuzzy intervals are studied.

AB - This paper proposes a new computational method for computing non-monotone Junctions that take a fuzzy interval as their arguments. The proposed method represents an implementation of optimisation technique into Zadeh's extension principle. By taking into account the dependency problem that exists in fuzzy environment, the proposed method can avoid the effect of overestimation in computation. This problem usually arises when the same fuzzy interval is computed separately in fuzzy interval computation. The proposed method is simple to use and can be implemented in many practical applications. In order to show the capability of the proposed method, several non-monotone functions with trapezoidal fuzzy intervals are studied.

KW - Fuzzy set

KW - Optimisation

KW - Zadeh's extension principle

UR - http://www.scopus.com/inward/record.url?scp=79960139775&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79960139775&partnerID=8YFLogxK

M3 - Article

VL - 40

SP - 643

EP - 650

JO - Sains Malaysiana

JF - Sains Malaysiana

SN - 0126-6039

IS - 6

ER -