Fuzzy analytic hierarchy process with interval type-2 fuzzy sets

Kahraman C., Öztayşi B., SARI İ., Turanoglu E.

Knowledge-Based Systems, vol.59, pp.48-57, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 59
  • Publication Date: 2014
  • Doi Number: 10.1016/j.knosys.2014.02.001
  • Journal Name: Knowledge-Based Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.48-57
  • Keywords: Type-2 fuzzy sets, Fuzzy AHP, Fuzzy numbers, Multicriteria, Uncertainty, DECISION-MAKING, SELECTION, SYSTEMS
  • Istanbul Technical University Affiliated: Yes

Abstract

The membership functions of type-1 fuzzy sets have no uncertainty associated with it. While excessive arithmetic operations are needed with type-2 fuzzy sets with respect to type-1's, type-2 fuzzy sets generalize type-1 fuzzy sets and systems so that more uncertainty for defining membership functions can be handled. A type-2 fuzzy set lets us incorporate the uncertainty of membership functions into the fuzzy set theory. Some fuzzy multicriteria methods have recently been extended by using type-2 fuzzy sets. Analytic Hierarchy Process (AHP) is a widely used multicriteria method that can take into account various and conflicting criteria at the same time. Our objective is to develop an interval type-2 fuzzy AHP method together with a new ranking method for type-2 fuzzy sets. We apply the proposed method to a supplier selection problem. © 2014 Elsevier B.V. All rights reserved.