PRIORITIZATION OF ALTERNATIVES BASED ON ANALYTIC HIERARCHY PROCESS USING INTERVAL TYPE-2 FUZZY SETS AND PROBABILITY-THEORETICAL INTERVAL COMPARISON

Autor:	Mikhail Yury Borisov, Konstantin Y. Degtiarev
Rok vydání:	2018
Předmět:	Computer science Fuzzy set General Decision Sciences Fuzzy number Analytic hierarchy process Context (language use) Vagueness Pairwise comparison Interval (mathematics) Data mining computer.software_genre Fuzzy logic computer
Zdroj:	International Journal of the Analytic Hierarchy Process. 10
ISSN:	1936-6744
DOI:	10.13033/ijahp.v10i3.586
Popis:	The Analytic Hierarchy Process (AHP) enables decision-makers to prioritize alternatives. However, when an expert expresses judgments using natural language statements (e.g. words or phrases) inherent vagueness of language constructs can cause the interpretation to be imprecise. The fuzzy Analytic Hierarchy Process (FAHP) can be viewed in the context of the classical AHP expansion. While performing pairwise comparisons domain experts are accustomed to operating with verbal terms in their judgments. Most existing FAHP approaches do not consider a human’s confidence in the estimates provided. This paper presents a model that gives weight to the constraints on domains of expert assessments as they are almost always supplied with certain degrees of confidence. Interval type-2 membership functions (IT2MF) along with the probability-theoretical procedure for comparison of intervals can be applied here as suitable modeling options. Empirical comparison of FAHP that makes use of triangular fuzzy numbers and IT2MF-based FAHP is also presented.
Databáze:	OpenAIRE
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