J 2020

A New Step-by-Step (SBS) Algorithm for Inconsistency Reduction in Pairwise Comparisons

MAZUREK, Jiří, Radomír PERZINA, Dominik STRZALKA and Bartosz KOWAL

Basic information

Original name

A New Step-by-Step (SBS) Algorithm for Inconsistency Reduction in Pairwise Comparisons

Authors

MAZUREK, Jiří (203 Czech Republic, guarantor, belonging to the institution), Radomír PERZINA (203 Czech Republic, belonging to the institution), Dominik STRZALKA (616 Poland) and Bartosz KOWAL (616 Poland)

Edition

IEEE Access, 2020, 2169-3536

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10102 Applied mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

RIV identification code

RIV/47813059:19520/20:A0000118

Organization unit

School of Business Administration in Karvina

DOI

UT WoS

000554897000001

Keywords in English

Indexes; Optimization; Eigenvalues and eigenfunctions; Complexity theory; Tools; Iterative algorithms; Licenses; Algorithm; consistency; inconsistency reduction; pairwise comparisons

Tags

International impact, Reviewed

Links

GA18-01246S, research and development project.
Změněno: 24/11/2020 16:57, Ing. Radomír Perzina, Ph.D.

Abstract

V originále

Pairwise comparisons constitute a popular and important tool for multiple-criteria decision making. Consistency is one particular aspect of pairwise comparisons that has been studied thoroughly in recent decades since human judgements are seldom fully consistent. The aim of this paper is to propose a new simple and intuitive iterative Step-by-Step (SBS) algorithm for inconsistency reduction of a (multiplicative) pairwise comparison matrix based on step-by-step changes of the most inconsistent matrix element, where the inconsistency is measured by a modified Koczkodaj's inconsistency index. A comparison of the proposed SBS algorithm with other algorithms for inconsistency reduction is provided as well.