Pairwise comparison matrix with fuzzy elements on alo-group

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F15%3A%230003531" target="_blank" >RIV/47813059:19520/15:#0003531 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Pairwise comparison matrix with fuzzy elements on alo-group

Popis výsledku v původním jazyce

This paper deals with pairwise comparison matrices with fuzzy elements. Fuzzy elements of the pairwise comparison matrix are applied whenever the decision maker is not sure about the value of his/her evaluation of the relative importance of elements in question. In comparison with pairwise comparison matrices with crisp elements investigated in the literature, here we investigate pairwise comparison matrices with elements from abelian linearly ordered group (alo-group) over a real interval. We generalize the concept of reciprocity and consistency of pairwise comparison matrices with triangular fuzzy numbers (PCFN matrices). We also define the concept of priority vector which is a generalization of the crisp concept. Such an approach allows for a generalization dealing both with the PCFN matrices on the additive, multiplicative and also fuzzy alo-groups. It unifies several approaches known from the literature. Moreover, we also deal with the problem of measuring the inconsistency of PCF

Název v anglickém jazyce

Pairwise comparison matrix with fuzzy elements on alo-group

Popis výsledku anglicky

This paper deals with pairwise comparison matrices with fuzzy elements. Fuzzy elements of the pairwise comparison matrix are applied whenever the decision maker is not sure about the value of his/her evaluation of the relative importance of elements in question. In comparison with pairwise comparison matrices with crisp elements investigated in the literature, here we investigate pairwise comparison matrices with elements from abelian linearly ordered group (alo-group) over a real interval. We generalize the concept of reciprocity and consistency of pairwise comparison matrices with triangular fuzzy numbers (PCFN matrices). We also define the concept of priority vector which is a generalization of the crisp concept. Such an approach allows for a generalization dealing both with the PCFN matrices on the additive, multiplicative and also fuzzy alo-groups. It unifies several approaches known from the literature. Moreover, we also deal with the problem of measuring the inconsistency of PCF

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BB - Aplikovaná statistika, operační výzkum

OECD FORD obor

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Projekt

<a href="/cs/project/GA14-02424S" target="_blank" >GA14-02424S: Metody operačního výzkumu pro podporu rozhodování v podmínkách neurčitosti</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Information Sciences

ISSN

0020-0255

e-ISSN

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Svazek periodika

297

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

18

Strana od-do

236-253

Kód UT WoS článku

000347862200013

EID výsledku v databázi Scopus

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