IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v48y2017i13p2779-2793.html
   My bibliography  Save this article

An automatic iterative decision-making method for intuitionistic fuzzy linguistic preference relations

Author

Listed:
  • Lidan Pei
  • Feifei Jin
  • Zhiwei Ni
  • Huayou Chen
  • Zhifu Tao

Abstract

As a new preference structure, the intuitionistic fuzzy linguistic preference relation (IFLPR) was recently introduced to efficiently deal with situations in which the membership and non-membership are represented as linguistic terms. In this paper, we study the issues of additive consistency and the derivation of the intuitionistic fuzzy weight vector of an IFLPR. First, the new concepts of order consistency, additive consistency and weak transitivity for IFLPRs are introduced, and followed by a discussion of the characterisation about additive consistent IFLPRs. Then, a parameterised transformation approach is investigated to convert the normalised intuitionistic fuzzy weight vector into additive consistent IFLPRs. After that, a linear optimisation model is established to derive the normalised intuitionistic fuzzy weights for IFLPRs, and a consistency index is defined to measure the deviation degree between an IFLPR and its additive consistent IFLPR. Furthermore, we develop an automatic iterative decision-making method to improve the IFLPRs with unacceptable additive consistency until the adjusted IFLPRs are acceptable additive consistent, and it helps the decision-maker to obtain the reasonable and reliable decision-making results. Finally, an illustrative example is provided to demonstrate the validity and applicability of the proposed method.

Suggested Citation

  • Lidan Pei & Feifei Jin & Zhiwei Ni & Huayou Chen & Zhifu Tao, 2017. "An automatic iterative decision-making method for intuitionistic fuzzy linguistic preference relations," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(13), pages 2779-2793, October.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2779-2793
    DOI: 10.1080/00207721.2017.1343405
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2017.1343405
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2017.1343405?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Xu, Zeshui, 2005. "Deviation measures of linguistic preference relations in group decision making," Omega, Elsevier, vol. 33(3), pages 249-254, June.
    2. Wang, Zhou-Jing & Li, Kevin W., 2015. "A multi-step goal programming approach for group decision making with incomplete interval additive reciprocal comparison matrices," European Journal of Operational Research, Elsevier, vol. 242(3), pages 890-900.
    3. Wang, Ying-Ming & Luo, Ying & Hua, Zhongsheng, 2008. "On the extent analysis method for fuzzy AHP and its applications," European Journal of Operational Research, Elsevier, vol. 186(2), pages 735-747, April.
    4. Hu, Mingming & Ren, Peiyu & Lan, Jibin & Wang, Jun & Zheng, Weimin, 2014. "Note on “Some models for deriving the priority weights from interval fuzzy preference relations”," European Journal of Operational Research, Elsevier, vol. 237(2), pages 771-773.
    5. Herrera-Viedma, E. & Herrera, F. & Chiclana, F. & Luque, M., 2004. "Some issues on consistency of fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 154(1), pages 98-109, April.
    6. Behnam Malakooti & Ying Q. Zhou, 1994. "Feedforward Artificial Neural Networks for Solving Discrete Multiple Criteria Decision Making Problems," Management Science, INFORMS, vol. 40(11), pages 1542-1561, November.
    7. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    8. Nicky J. Welton & Howard H. Z. Thom, 2015. "Value of Information," Medical Decision Making, , vol. 35(5), pages 564-566, July.
    9. Jinpei Liu & Sheng Lin & Huayou Chen & Ligang Zhou, 2013. "The Continuous Quasi-OWA Operator and its Application to Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(4), pages 715-738, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yongming Song, 2018. "Deriving the priority weights from probabilistic linguistic preference relation with unknown probabilities," PLOS ONE, Public Library of Science, vol. 13(12), pages 1-17, December.
    2. Feifei Jin & Zhiwei Ni & Reza Langari & Huayou Chen, 2020. "Consistency Improvement-Driven Decision-Making Methods with Probabilistic Multiplicative Preference Relations," Group Decision and Negotiation, Springer, vol. 29(2), pages 371-397, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Meng, Fanyong & Tan, Chunqiao & Chen, Xiaohong, 2017. "Multiplicative consistency analysis for interval fuzzy preference relations: A comparative study," Omega, Elsevier, vol. 68(C), pages 17-38.
    2. Liu Fang & Peng Yanan & Zhang Weiguo & Pedrycz Witold, 2017. "On Consistency in AHP and Fuzzy AHP," Journal of Systems Science and Information, De Gruyter, vol. 5(2), pages 128-147, April.
    3. Xunjie Gou & Zeshui Xu & Xinxin Wang & Huchang Liao, 2021. "Managing consensus reaching process with self-confident double hierarchy linguistic preference relations in group decision making," Fuzzy Optimization and Decision Making, Springer, vol. 20(1), pages 51-79, March.
    4. Feifei Jin & Zhiwei Ni & Reza Langari & Huayou Chen, 2020. "Consistency Improvement-Driven Decision-Making Methods with Probabilistic Multiplicative Preference Relations," Group Decision and Negotiation, Springer, vol. 29(2), pages 371-397, April.
    5. Huayou Chen & Ligang Zhou, 2012. "A Relative Entropy Approach to Group Decision Making with Interval Reciprocal Relations Based on COWA Operator," Group Decision and Negotiation, Springer, vol. 21(4), pages 585-599, July.
    6. Dong, Yucheng & Xu, Yinfeng & Li, Hongyi, 2008. "On consistency measures of linguistic preference relations," European Journal of Operational Research, Elsevier, vol. 189(2), pages 430-444, September.
    7. Dong, Yucheng & Xu, Yinfeng & Li, Hongyi & Dai, Min, 2008. "A comparative study of the numerical scales and the prioritization methods in AHP," European Journal of Operational Research, Elsevier, vol. 186(1), pages 229-242, April.
    8. Raman Kumar Goyal & Sakshi Kaushal, 2018. "Deriving crisp and consistent priorities for fuzzy AHP-based multicriteria systems using non-linear constrained optimization," Fuzzy Optimization and Decision Making, Springer, vol. 17(2), pages 195-209, June.
    9. Zeshui Xu, 2013. "Compatibility Analysis of Intuitionistic Fuzzy Preference Relations in Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(3), pages 463-482, May.
    10. Zhou-Jing Wang & Yuhong Wang & Kevin W. Li, 2016. "An Acceptable Consistency-Based Framework for Group Decision Making with Intuitionistic Preference Relations," Group Decision and Negotiation, Springer, vol. 25(1), pages 181-202, January.
    11. Grošelj, Petra & Hodges, Donald G. & Zadnik Stirn, Lidija, 2016. "Participatory and multi-criteria analysis for forest (ecosystem) management: A case study of Pohorje, Slovenia," Forest Policy and Economics, Elsevier, vol. 71(C), pages 80-86.
    12. Wu, Zhibin & Huang, Shuai & Xu, Jiuping, 2019. "Multi-stage optimization models for individual consistency and group consensus with preference relations," European Journal of Operational Research, Elsevier, vol. 275(1), pages 182-194.
    13. Mohamed Hanine & Omar Boutkhoum & Abderrafie El Maknissi & Abdessadek Tikniouine & Tarik Agouti, 2016. "Decision making under uncertainty using PEES–fuzzy AHP–fuzzy TOPSIS methodology for landfill location selection," Environment Systems and Decisions, Springer, vol. 36(4), pages 351-367, December.
    14. María Carmen Carnero & Andrés Gómez, 2019. "Optimization of Decision Making in the Supply of Medicinal Gases Used in Health Care," Sustainability, MDPI, vol. 11(10), pages 1-31, May.
    15. Yibin Zhang & Kevin W. Li & Zhou-Jing Wang, 2017. "Prioritization and Aggregation of Intuitionistic Preference Relations: A Multiplicative-Transitivity-Based Transformation from Intuitionistic Judgment Data to Priority Weights," Group Decision and Negotiation, Springer, vol. 26(2), pages 409-436, March.
    16. Calabrese, Armando & Costa, Roberta & Levialdi, Nathan & Menichini, Tamara, 2019. "Integrating sustainability into strategic decision-making: A fuzzy AHP method for the selection of relevant sustainability issues," Technological Forecasting and Social Change, Elsevier, vol. 139(C), pages 155-168.
    17. Burak, Selmin & Samanlioglu, Funda & Ülker, Duygu, 2022. "Evaluation of irrigation methods in Söke Plain with HF-AHP-PROMETHEE II hybrid MCDM method," Agricultural Water Management, Elsevier, vol. 271(C).
    18. Ilić, Damir & Milošević, Isidora & Ilić-Kosanović, Tatjana, 2022. "Application of Unmanned Aircraft Systems for smart city transformation: Case study Belgrade," Technological Forecasting and Social Change, Elsevier, vol. 176(C).
    19. Liu, Fang & Zhang, Wei-Guo & Zhang, Li-Hua, 2014. "Consistency analysis of triangular fuzzy reciprocal preference relations," European Journal of Operational Research, Elsevier, vol. 235(3), pages 718-726.
    20. Jana Krejčí & Ondřej Pavlačka & Jana Talašová, 2017. "A fuzzy extension of Analytic Hierarchy Process based on the constrained fuzzy arithmetic," Fuzzy Optimization and Decision Making, Springer, vol. 16(1), pages 89-110, March.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2779-2793. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.