Strict Consistency in Pairwise Comparisons Matrix With Fuzzy Elements

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F17%3A00010971" target="_blank" >RIV/47813059:19520/17:00010971 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/978-3-319-59421-7" target="_blank" >http://dx.doi.org/10.1007/978-3-319-59421-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-319-59421-7" target="_blank" >10.1007/978-3-319-59421-7</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Strict Consistency in Pairwise Comparisons Matrix With Fuzzy Elements

Popis výsledku v původním jazyce

This paper forms both theoretical and practical innovation basis for decision making process in micro and macro economics. The decision making problem considered here is to rank n alternatives from the best to the worst, using the information given by the decision maker-s in the form of an n n pairwise comparisons matrix. Here, we deal with pairwise comparisons matrices with fuzzy elements. Fuzzy elements of the pairwise comparisons matrix are applied whenever the decision maker is uncertain about the value of his/her evaluation of the relative importance of elements in question. We investigate pairwise comparisons matrices with elements from abelian linearly ordered group /alo-group/ over a real interval which is a generalization of traditional multiplicative or additive approaches. The concept of reciprocity and consistency of pairwise comparisons matrices with fuzzy elements is well known. Here, we extend these concepts, namely to the strict as well as strong consistency of pairwise comparisons matrices with fuzzy elements /PCF matrices/. We derive the necessary and sucient conditions for strict/strong consistency and investigate their properties as well as some consequences to the problem of ranking the alternatives. Illustrating examples are presented and discussed.

Název v anglickém jazyce

Strict Consistency in Pairwise Comparisons Matrix With Fuzzy Elements

Popis výsledku anglicky

This paper forms both theoretical and practical innovation basis for decision making process in micro and macro economics. The decision making problem considered here is to rank n alternatives from the best to the worst, using the information given by the decision maker-s in the form of an n n pairwise comparisons matrix. Here, we deal with pairwise comparisons matrices with fuzzy elements. Fuzzy elements of the pairwise comparisons matrix are applied whenever the decision maker is uncertain about the value of his/her evaluation of the relative importance of elements in question. We investigate pairwise comparisons matrices with elements from abelian linearly ordered group /alo-group/ over a real interval which is a generalization of traditional multiplicative or additive approaches. The concept of reciprocity and consistency of pairwise comparisons matrices with fuzzy elements is well known. Here, we extend these concepts, namely to the strict as well as strong consistency of pairwise comparisons matrices with fuzzy elements /PCF matrices/. We derive the necessary and sucient conditions for strict/strong consistency and investigate their properties as well as some consequences to the problem of ranking the alternatives. Illustrating examples are presented and discussed.

Druh

C - Kapitola v odborné knize

CEP obor

—

OECD FORD obor

10103 - Statistics and probability

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název knihy nebo sborníku

Intelligent Decision Technologies 2017 - Smart Innovation, Systems and Technologies

ISBN

978-3-319-59420-0

Počet stran výsledku

10

Strana od-do

1-10

Počet stran knihy

700

Název nakladatele

Springer International AG

Místo vydání

Cham, Switzerland

Kód UT WoS kapitoly

—