A Bipolar Fuzzy Extension of the MULTIMOORA Method

Stanujkic, Dragisa; Karabasevic, Darjan; Zavadskas, Edmundas Kazimieras; Smarandache, Florentin; Brauers, Willem K.M.

doi:10.15388/Informatica.2019.201

Informatica

A Bipolar Fuzzy Extension of the MULTIMOORA Method

Volume 30, Issue 1 (2019), pp. 135–152

Dragisa Stanujkic Darjan Karabasevic Edmundas Kazimieras Zavadskas Florentin Smarandache Willem K.M. Brauers

https://doi.org/10.15388/Informatica.2019.201

Pub. online: 1 January 2019 Type: Research Article

Open Access

Received
1 October 2018

Accepted
1 February 2019

Published
1 January 2019

Abstract

The aim of this paper is to make a proposal for a new extension of the MULTIMOORA method extended to deal with bipolar fuzzy sets. Bipolar fuzzy sets are proposed as an extension of classical fuzzy sets in order to enable solving a particular class of decision-making problems. Unlike other extensions of the fuzzy set of theory, bipolar fuzzy sets introduce a positive membership function, which denotes the satisfaction degree of the element x to the property corresponding to the bipolar-valued fuzzy set, and the negative membership function, which denotes the degree of the satisfaction of the element x to some implicit counter-property corresponding to the bipolar-valued fuzzy set. By using single-valued bipolar fuzzy numbers, the MULTIMOORA method can be more efficient for solving some specific problems whose solving requires assessment and prediction. The suitability of the proposed approach is presented through an example.

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Biographies

Stanujkic Dragisa

dstanujkic@tfbor.bg.ac.rs

D. Stanujkic is an associate professor of information technology at the Technical Faculty in Bor, University of Belgrade. He has received his MSc degree in information science and PhD in organizational sciences from the Faculty of Organizational Sciences, University of Belgrade. His current research is focused on decision-making theory, expert systems and intelligent decision support systems.

Karabasevic Darjan

darjan.karabasevic@mef.edu.rs

D. Karabasevic is an assistant professor at the Faculty of Applied Management, Economics and Finance, University Business Academy in Novi Sad. He obtained his degrees at all the levels of studies (BSc appl. in economics, BSc in economics, academic specialization in the management of business information systems and PhD in management and business) at the Faculty of Management in Zajecar, John Naisbitt University, Belgrade. His current research is focused on the human resource management, management and decision-making theory.

Zavadskas Edmundas Kazimieras

edmundas.zavadskas@vgtu.lt

E.K. Zavadskas is a professor of the Department of Construction Management and Real Estate, director of Institute of Sustainable Construction, and Chief Research Fellow of Laboratory of Operational Research at Vilnius Gediminas Technical University, Vilnius, Lithuania. He has a PhD in building structures (1973) and DrSc (1987) in building technology and management. He is a member of the Lithuanian and several foreign Academies of Sciences. He is doctor honoris causa at Poznan, Saint Petersburg, and Kiev universities. He is the editor in chief and a member of editorial boards of a number of research journals. He is an author and coauthor of more than 400 papers and a number of monographs. Research interests are: building technology and management, decision-making theory, automation in design and decision support systems.

Smarandache Florentin

fsmarandache@gmail.com

Brauers Willem K.M.

willem.brauers@uantwerpen.be