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Journal ArticleDOI

Fuzzy analytic hierarchy process with interval type-2 fuzzy sets

TLDR
The objective is to develop an interval type-2 fuzzy AHP method together with a new ranking method for type- 2 fuzzy sets that applies the proposed method to a supplier selection problem.
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.

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Citations
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Journal ArticleDOI

Fuzzy Multicriteria Decision-Making: A Literature Review

TL;DR: This paper surveys the latest status of fuzzy multicriteria decision-making methods and classify these methods dividing into two parts: fuzzy multiattribute decision- Making (MADM) and fuzzy multiobjective decision- making (MODM).
Journal ArticleDOI

A review of fuzzy AHP methods for decision-making with subjective judgements

TL;DR: This paper reviews the literature published since 2008 where fuzzy AHP is applied to decision-making problems in industry, particularly the various selection problems.
Journal ArticleDOI

A novel spherical fuzzy analytic hierarchy process and its renewable energy application

TL;DR: The aim is to extend classical analytic hierarchy process (AHP) to spherical fuzzy AHP (SF-AHP), and to show its applicability and validity through a renewable energy location selection example and a comparative analysis between neutrosophic AHP and SF-A HP.
Journal ArticleDOI

Multi-criteria evaluation of green suppliers using an extended WASPAS method with interval type-2 fuzzy sets

TL;DR: A new integrated approach based on Weighted Aggregated Sum Product Assessment (WASPAS) method, is proposed to deal with multi-criteria group decision-making problems with IT2FSs, and it is shown that combining the subjective and objective weights can help to increase the stability of the proposed approach with different weights of criteria.
Journal ArticleDOI

Prioritization of renewable energy alternatives by using an integrated fuzzy MCDM model: A real case application for Turkey

TL;DR: A MCDM methodology based on type-2 fuzzy sets whose membership functions are also fuzzy and hesitant fuzzy sets that enable to handle situations that an element has several membership value are more able to model uncertainties in decision making process are suggested to evaluate renewable energy alternatives for Turkey.
References
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Book

Fuzzy sets

TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal ArticleDOI

The concept of a linguistic variable and its application to approximate reasoning—II☆

TL;DR: Much of what constitutes the core of scientific knowledge may be regarded as a reservoir of concepts and techniques which can be drawn upon to construct mathematical models of various types of systems and thereby yield quantitative information concerning their behavior.
Book

Multiple Attribute Decision Making: Methods and Applications

TL;DR: In this paper, the authors present a classification of MADM methods by data type and propose a ranking method based on the degree of similarity of the MADM method to the original MADM algorithm.