IDEAS home Printed from https://ideas.repec.org/a/wsi/ijitdm/v16y2017i03ns0219622017500110.html
   My bibliography  Save this article

Some Improved Linguistic Intuitionistic Fuzzy Aggregation Operators and Their Applications to Multiple-Attribute Decision Making

Author

Listed:
  • Peide Liu

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, China)

  • Peng Wang

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, China)

Abstract

Linguistic intuitionistic fuzzy numbers (LIFNs) is a new concept in describing the intuitionistic fuzzy information, which membership and non-membership are expressed by linguistic terms, so it can more easily express the fuzzy information, and some research results on LIFNs have been achieved. However, in the existing researches, some linguistic intuitionistic fuzzy aggregation operators are based on the traditional operational rules, and they have some drawbacks for multi-attribute decision making (MADM) in the practical application. In order to overcome these problems, in this paper, we proposed some improved operational rules based on LIFNs and verified their some properties. Then we developed some aggregation operators to fuse the decision information represented by LIFNs, including the improved linguistic intuitionistic fuzzy weighted averaging (ILIFWA) operator and the improved linguistic intuitionistic fuzzy weighted power average (ILIFWPA) operator. Further, we proved their some desirable properties. Based on the ILIFWA operator and the ILIFWPA operator, we presented some new methods to deal with the multi-attribute group decision making (MAGDM) problems under the linguistic intuitionistic fuzzy environment. Finally, we used some practical examples to illustrate the validity and feasibility of the proposed methods by comparing with other methods.

Suggested Citation

  • Peide Liu & Peng Wang, 2017. "Some Improved Linguistic Intuitionistic Fuzzy Aggregation Operators and Their Applications to Multiple-Attribute Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 817-850, May.
    • Handle: RePEc:wsi:ijitdm:v:16:y:2017:i:03:n:s0219622017500110
    DOI: 10.1142/S0219622017500110
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219622017500110
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219622017500110?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. Peng, Yi & Kou, Gang & Wang, Guoxun & Shi, Yong, 2011. "FAMCDM: A fusion approach of MCDM methods to rank multiclass classification algorithms," Omega, Elsevier, vol. 39(6), pages 677-689, December.
    2. Gang Kou & Yanqun Lu & Yi Peng & Yong Shi, 2012. "Evaluation Of Classification Algorithms Using Mcdm And Rank Correlation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 197-225.
    3. Kou, Gang & Lin, Changsheng, 2014. "A cosine maximization method for the priority vector derivation in AHP," European Journal of Operational Research, Elsevier, vol. 235(1), pages 225-232.
    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. Yuan Rong & Yi Liu & Zheng Pei, 2020. "Novel Multiple Attribute Group Decision-Making Methods Based on Linguistic Intuitionistic Fuzzy Information," Mathematics, MDPI, vol. 8(3), pages 1-30, March.
    2. Liang Li & Yanwu Liu & Yan Tu & Xiaoyang Zhou & Benjamin Lev, 2022. "A Novel Group TODIM Method Based on Multi-Granularity Proportional Hesitant Fuzzy Linguistic Term Sets for Water Resources Risk Evaluation," Group Decision and Negotiation, Springer, vol. 31(5), pages 913-944, October.
    3. Runtong Zhang & Yuping Xing & Jun Wang & Xiaopu Shang & Xiaomin Zhu, 2018. "A Novel Multiattribute Decision-Making Method Based on Point–Choquet Aggregation Operators and Its Application in Supporting the Hierarchical Medical Treatment System in China," IJERPH, MDPI, vol. 15(8), pages 1-29, August.
    4. Mustafa Batuhan Ayhan, 2018. "A New Decision Making Approach for Supplier Selection: Hesitant Fuzzy Axiomatic Design," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(04), pages 1085-1117, July.
    5. Kamal Kumar & Harish Garg, 2018. "Prioritized Linguistic Interval-Valued Aggregation Operators and Their Applications in Group Decision-Making Problems," Mathematics, MDPI, vol. 6(10), pages 1-26, October.
    6. Zeeshan Ali & Tahir Mahmood & Miin-Shen Yang, 2020. "TOPSIS Method Based on Complex Spherical Fuzzy Sets with Bonferroni Mean Operators," Mathematics, MDPI, vol. 8(10), pages 1-19, October.
    7. Sibnath Deb & Samarjit Kar & Shayana Deb & Sanjib Biswas & Aehsan Ahmad Dar & Tusharika Mukherjee, 2022. "A Cross-Sectional Study on Mental Health of School Students during the COVID-19 Pandemic in India," Data, MDPI, vol. 7(7), pages 1-27, July.
    8. Ximei Hu & Shuxia Yang & Ya-Ru Zhu, 2021. "Multiple Attribute Decision-Making Based on Three-Parameter Generalized Weighted Heronian Mean," Mathematics, MDPI, vol. 9(12), pages 1-29, June.
    9. Huijuan Wang & Xin Wang & Lidong Wang, 2019. "Multicriteria Decision Making Based on Archimedean Bonferroni Mean Operators of Hesitant Fermatean 2-Tuple Linguistic Terms," Complexity, Hindawi, vol. 2019, pages 1-19, December.
    10. Shouzhen Zeng & Shahzaib Asharf & Muhammad Arif & Saleem Abdullah, 2019. "Application of Exponential Jensen Picture Fuzzy Divergence Measure in Multi-Criteria Group Decision Making," Mathematics, MDPI, vol. 7(2), pages 1-16, February.
    11. Peide Liu & Xinli You, 2018. "Some linguistic neutrosophic Hamy mean operators and their application to multi-attribute group decision making," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-26, March.
    12. Peide Liu & Xiaoxiao Liu & Guiying Ma & Zhaolong Liang & Changhai Wang & Fawaz E. Alsaadi, 2020. "A Multi-Attribute Group Decision-Making Method Based on Linguistic Intuitionistic Fuzzy Numbers and Dempster–Shafer Evidence Theory," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 499-524, April.
    13. Miin-Shen Yang & Zahid Hussain, 2018. "Fuzzy Entropy for Pythagorean Fuzzy Sets with Application to Multicriterion Decision Making," Complexity, Hindawi, vol. 2018, pages 1-14, November.
    14. Suizhi Luo & Lining Xing, 2019. "Picture Fuzzy Interaction Partitioned Heronian Aggregation Operators for Hotel Selection," Mathematics, MDPI, vol. 8(1), pages 1-23, December.
    15. Fei Teng & Peide Liu & Li Zhang & Juan Zhao, 2019. "Multiple Attribute Decision-Making Methods with Unbalanced Linguistic Variables Based on Maclaurin Symmetric Mean Operators," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 105-146, January.
    16. Erich Peter Klement & Radko Mesiar, 2018. "L -Fuzzy Sets and Isomorphic Lattices: Are All the “New” Results Really New? †," Mathematics, MDPI, vol. 6(9), pages 1-24, August.
    17. Mingwei Lin & Jiuhan Wei & Zeshui Xu & Riqing Chen, 2018. "Multiattribute Group Decision-Making Based on Linguistic Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Aggregation Operators," Complexity, Hindawi, vol. 2018, pages 1-24, November.
    18. Hannan Amoozad Mahdiraji & Fatemeh Yaftiyan & Aliasghar Abbasi-Kamardi & Vahid Jafari-Sadeghi & Jean-Michel Sahut & Leo-Paul Dana, 2023. "A synthesis of boundary conditions with adopting digital platforms in SMEs: an intuitionistic multi-layer decision-making framework," The Journal of Technology Transfer, Springer, vol. 48(5), pages 1723-1751, October.
    19. Paul Augustine Ejegwa & Arun Sarkar, 2023. "Novel Correlation Measure for Generalized Orthopair Fuzzy Sets and Its Decision-Making Applications," SN Operations Research Forum, Springer, vol. 4(2), pages 1-23, June.
    20. Vladimir Simić & Radovan Soušek & Stefan Jovčić, 2020. "Picture Fuzzy MCDM Approach for Risk Assessment of Railway Infrastructure," Mathematics, MDPI, vol. 8(12), pages 1-29, December.
    21. Yuchu Qin & Xiaolan Cui & Meifa Huang & Yanru Zhong & Zhemin Tang & Peizhi Shi, 2019. "Archimedean Muirhead Aggregation Operators of q-Rung Orthopair Fuzzy Numbers for Multicriteria Group Decision Making," Complexity, Hindawi, vol. 2019, pages 1-33, December.
    22. Zaoli Yang & Xin Li & Zehong Cao & Jinqiu Li, 2019. "Q-rung Orthopair Normal Fuzzy Aggregation Operators and Their Application in Multi-Attribute Decision-Making," Mathematics, MDPI, vol. 7(12), pages 1-26, November.
    23. Peide Liu & Hongyu Yang & Haiquan Wu & Meilong Ju & Fawaz E. Alsaadi, 2019. "Some Maclaurin Symmetric Mean Aggregation Operators Based on Cloud Model and Their Application to Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 981-1007, May.

    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. Thomas L. Saaty & Daji Ergu, 2015. "When is a Decision-Making Method Trustworthy? Criteria for Evaluating Multi-Criteria Decision-Making Methods," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 1171-1187, November.
    2. Hesham K. Alfares & Salih O. Duffuaa, 2016. "Simulation-Based Evaluation of Criteria Rank-Weighting Methods in Multi-Criteria Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 43-61, January.
    3. Peide Liu & Lili Zhang & Xi Liu & Peng Wang, 2016. "Multi-Valued Neutrosophic Number Bonferroni Mean Operators with their Applications in Multiple Attribute Group Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 1181-1210, September.
    4. Fei Teng & Peide Liu & Li Zhang & Juan Zhao, 2019. "Multiple Attribute Decision-Making Methods with Unbalanced Linguistic Variables Based on Maclaurin Symmetric Mean Operators," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 105-146, January.
    5. Zhang, Huanhuan & Kou, Gang & Peng, Yi, 2019. "Soft consensus cost models for group decision making and economic interpretations," European Journal of Operational Research, Elsevier, vol. 277(3), pages 964-980.
    6. Ayfer Basar & Özgür Kabak & Y. Ilker Topcu, 2017. "A Decision Support Methodology for Locating Bank Branches: A Case Study in Turkey," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 59-86, January.
    7. Edmundas Kazimieras Zavadskas & Valentinas Podvezko, 2016. "Integrated Determination of Objective Criteria Weights in MCDM," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 267-283, March.
    8. O. H. Salman & A. A. Zaidan & B. B. Zaidan & Naserkalid & M. Hashim, 2017. "Novel Methodology for Triage and Prioritizing Using “Big Data” Patients with Chronic Heart Diseases Through Telemedicine Environmental," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(05), pages 1211-1245, September.
    9. Kun Chen & Gang Kou & J. Michael Tarn & Yan Song, 2015. "Bridging the gap between missing and inconsistent values in eliciting preference from pairwise comparison matrices," Annals of Operations Research, Springer, vol. 235(1), pages 155-175, December.
    10. Kuang-Hua Hu & Wei Jianguo & Gwo-Hshiung Tzeng, 2017. "Risk Factor Assessment Improvement for China’s Cloud Computing Auditing Using a New Hybrid MADM Model," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 737-777, May.
    11. Ernesto Tarantino & Ivanoe De Falco & Umberto Scafuri, 2019. "A mobile personalized tourist guide and its user evaluation," Information Technology & Tourism, Springer, vol. 21(3), pages 413-455, September.
    12. Eleonora Bottani & Piera Centobelli & Teresa Murino & Ehsan Shekarian, 2018. "A QFD-ANP Method for Supplier Selection with Benefits, Opportunities, Costs and Risks Considerations," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(03), pages 911-939, May.
    13. Xunjie Gou & Zeshui Xu & Huchang Liao, 2019. "Hesitant Fuzzy Linguistic Possibility Degree-Based Linear Assignment Method for Multiple Criteria Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 35-63, January.
    14. Viral Gupta & P. K. Kapur & Deepak Kumar, 2019. "Prioritizing and Optimizing Disaster Recovery Solution using Analytic Network Process and Multi Attribute Utility Theory," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 171-207, January.
    15. Gia Sirbiladze & Otar Badagadze, 2017. "Intuitionistic Fuzzy Probabilistic Aggregation Operators Based on the Choquet Integral: Application in Multicriteria Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 245-279, January.
    16. Qian Qian & Yang Yang & Zong-Fang Zhou, 2019. "Research on Trade Credit Spreading and Credit Risk within the Supply Chain," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 389-411, January.
    17. Wenshuai Wu & Yi Peng, 2016. "Extension of grey relational analysis for facilitating group consensus to oil spill emergency management," Annals of Operations Research, Springer, vol. 238(1), pages 615-635, March.
    18. Wenshuai Wu & Yi Peng, 2016. "Extension of grey relational analysis for facilitating group consensus to oil spill emergency management," Annals of Operations Research, Springer, vol. 238(1), pages 615-635, March.
    19. Akshay Hinduja & Manju Pandey, 2019. "An Integrated Intuitionistic Fuzzy MCDM Approach to Select Cloud-Based ERP System for SMEs," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(06), pages 1875-1908, November.
    20. Roman Vavrek, 2019. "Evaluation of the Impact of Selected Weighting Methods on the Results of the TOPSIS Technique," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(06), pages 1821-1843, November.

    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:wsi:ijitdm:v:16:y:2017:i:03:n:s0219622017500110. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijitdm/ijitdm.shtml .

    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.