On Application of Ordered Fuzzy Numbers in Ranking Linguistically Evaluated Negotiation Offers

Krzysztof Piasecki , Ewa Roszkowska


The main purpose of this paper is to investigate the application potential of ordered fuzzy numbers (OFN) to support evaluation of negotiation offers. The Simple Additive Weighting (SAW) and the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) methods are extended to the case when linguistic evaluations are represented by OFN. We study the applicability of OFN for linguistic evaluation negotiation options and also provide the theoretical foundations of SAW and TOPSIS for constructing a scoring function for negotiation offers. We show that the proposed framework allows us to represent the negotiation information in a more direct and adequate way, especially in ill-structured negotiation problems, allows for holistic evaluation of negotiation offers, and produces consistent rankings, even though new packages are added or removed. An example is presented in order to demonstrate the usefulness of presented fuzzy numerical approach in evaluation of negotiation offers.
Author Krzysztof Piasecki (WZ / KIiN)
Krzysztof Piasecki,,
- Department of Investment and Real Estate
, Ewa Roszkowska - Uniwersytet w Białymstoku, MNiSW [80]
Ewa Roszkowska,,
Journal seriesAdvances in Fuzzy Systems, ISSN 1687-7101, e-ISSN 1687-711X, (0 pkt, indicated Indexes)
Issue year2018
Publication size in sheets0.55
Keywords in EnglishSAW method, TOPSIS method, linguistic evaluation, ordered fuzzy number
ASJC Classification2207 Control and Systems Engineering; 2605 Computational Mathematics; 2606 Control and Optimization
URL https://www.hindawi.com/journals/afs/2018/1569860/
Languageen angielski
Score (nominal)15
Score sourcejournalIndex
ScoreMinisterial score = 15.0, 16-06-2020, ArticleFromJournal
Publication indicators WoS Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2018 = 0.874
Citation count*10 (2020-09-18)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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