The Multi-Criteria Negotiation Analysis Based on the Membership Function

In this paper we propose a multi-criteria model based on the fuzzy preferences approach which can be implemented in the prenegotiation phase to evaluate the negotiations packages. The applicability of some multi-criteria ranking methods were discussed for building a scoring function for negotiation...

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Main Authors: Roszkowska Ewa, Wachowicz Tomasz
Format: Article
Language:English
Published: Sciendo 2014-08-01
Series:Studies in Logic, Grammar and Rhetoric
Subjects:
Online Access:https://doi.org/10.2478/slgr-2014-0025
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author Roszkowska Ewa
Wachowicz Tomasz
author_facet Roszkowska Ewa
Wachowicz Tomasz
author_sort Roszkowska Ewa
collection DOAJ
description In this paper we propose a multi-criteria model based on the fuzzy preferences approach which can be implemented in the prenegotiation phase to evaluate the negotiations packages. The applicability of some multi-criteria ranking methods were discussed for building a scoring function for negotiation packages. The first one is Simple Additive Weighting (SAW) technique which determines the sum of the partial satisfactions from each negotiation issue and aggregate them using the issue weights. The other one is Distance Based Methods (DBM), with its extension based on the distances to ideal or anti-ideal package, i.e. the TOPSIS procedure. In our approach the negotiator's preferences over the issues are represented by fuzzy membership functions and next a selected multi-criteria decision making method is adopted to determine the global rating of each package. The membership functions are used here as the equivalents of utility functions spread over the negotiation issues, which let us compare different type of data. One of the key advantages of the approach proposed is its usefulness for building a general scoring function in the ill-structured negotiation problem, namely the situation in which the problem itself as well as the negotiators preferences cannot be precisely defined, the available information is uncertain, subjective and vague. Secondly, all proposed variants of scoring functions produce consistent rankings, even though the new packages are added (or removed) and do not result in rank reversal.
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spelling doaj.art-3df14d74b10c4ec5a3b25e48fcaadfbf2022-12-21T21:32:05ZengSciendoStudies in Logic, Grammar and Rhetoric0860-150X2199-60592014-08-0137119521710.2478/slgr-2014-0025slgr-2014-0025The Multi-Criteria Negotiation Analysis Based on the Membership FunctionRoszkowska Ewa0Wachowicz Tomasz1Faculty of Economics and Management, University of Bialystok, Poland2Department of Operations Research, University of Economics in Katowice, PolandIn this paper we propose a multi-criteria model based on the fuzzy preferences approach which can be implemented in the prenegotiation phase to evaluate the negotiations packages. The applicability of some multi-criteria ranking methods were discussed for building a scoring function for negotiation packages. The first one is Simple Additive Weighting (SAW) technique which determines the sum of the partial satisfactions from each negotiation issue and aggregate them using the issue weights. The other one is Distance Based Methods (DBM), with its extension based on the distances to ideal or anti-ideal package, i.e. the TOPSIS procedure. In our approach the negotiator's preferences over the issues are represented by fuzzy membership functions and next a selected multi-criteria decision making method is adopted to determine the global rating of each package. The membership functions are used here as the equivalents of utility functions spread over the negotiation issues, which let us compare different type of data. One of the key advantages of the approach proposed is its usefulness for building a general scoring function in the ill-structured negotiation problem, namely the situation in which the problem itself as well as the negotiators preferences cannot be precisely defined, the available information is uncertain, subjective and vague. Secondly, all proposed variants of scoring functions produce consistent rankings, even though the new packages are added (or removed) and do not result in rank reversal.https://doi.org/10.2478/slgr-2014-0025negotiation supportmembership functionfuzzy multi-criteria methods
spellingShingle Roszkowska Ewa
Wachowicz Tomasz
The Multi-Criteria Negotiation Analysis Based on the Membership Function
Studies in Logic, Grammar and Rhetoric
negotiation support
membership function
fuzzy multi-criteria methods
title The Multi-Criteria Negotiation Analysis Based on the Membership Function
title_full The Multi-Criteria Negotiation Analysis Based on the Membership Function
title_fullStr The Multi-Criteria Negotiation Analysis Based on the Membership Function
title_full_unstemmed The Multi-Criteria Negotiation Analysis Based on the Membership Function
title_short The Multi-Criteria Negotiation Analysis Based on the Membership Function
title_sort multi criteria negotiation analysis based on the membership function
topic negotiation support
membership function
fuzzy multi-criteria methods
url https://doi.org/10.2478/slgr-2014-0025
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