On Application of Ordered Fuzzy Numbers in Ranking Linguistically Evaluated Negotiation Offers
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 ca...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2018/1569860 |
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| author | Krzysztof Piasecki Ewa Roszkowska |
| author_facet | Krzysztof Piasecki Ewa Roszkowska |
| author_sort | Krzysztof Piasecki |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-6ff078e4ae9b47f09f3f1647ed2aff7c |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-6ff078e4ae9b47f09f3f1647ed2aff7c2025-02-03T01:21:17ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2018-01-01201810.1155/2018/15698601569860On Application of Ordered Fuzzy Numbers in Ranking Linguistically Evaluated Negotiation OffersKrzysztof Piasecki0Ewa Roszkowska1Department of Investment and Real Estate, Poznań University of Economics and Business, 61-875 Poznań, PolandFaculty of Economics and Management, University of Bialystok, 15-062 Bialystok, PolandThe 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.http://dx.doi.org/10.1155/2018/1569860 |
| spellingShingle | Krzysztof Piasecki Ewa Roszkowska On Application of Ordered Fuzzy Numbers in Ranking Linguistically Evaluated Negotiation Offers Advances in Fuzzy Systems |
| title | On Application of Ordered Fuzzy Numbers in Ranking Linguistically Evaluated Negotiation Offers |
| title_full | On Application of Ordered Fuzzy Numbers in Ranking Linguistically Evaluated Negotiation Offers |
| title_fullStr | On Application of Ordered Fuzzy Numbers in Ranking Linguistically Evaluated Negotiation Offers |
| title_full_unstemmed | On Application of Ordered Fuzzy Numbers in Ranking Linguistically Evaluated Negotiation Offers |
| title_short | On Application of Ordered Fuzzy Numbers in Ranking Linguistically Evaluated Negotiation Offers |
| title_sort | on application of ordered fuzzy numbers in ranking linguistically evaluated negotiation offers |
| url | http://dx.doi.org/10.1155/2018/1569860 |
| work_keys_str_mv | AT krzysztofpiasecki onapplicationoforderedfuzzynumbersinrankinglinguisticallyevaluatednegotiationoffers AT ewaroszkowska onapplicationoforderedfuzzynumbersinrankinglinguisticallyevaluatednegotiationoffers |