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Evaluation of the product quality of the online shopping platform using t-spherical fuzzy preference relations

Published: 01 January 2021 Publication History

Abstract

As a generalization of Pythagorean fuzzy sets and picture fuzzy sets, spherical fuzzy sets provide decision makers more flexible space in expressing their opinions. Preference relations have received widespread acceptance as an efficient tool in representing decision makers’ preference over alternatives in the decision-making process. In this paper, some new preference relations are investigated based on the spherical fuzzy sets. Firstly, the deficiency of the existing operating laws is elaborated in detail and three cases are described to identify the accuracy of the proposed operating laws in the context of t-spherical fuzzy environment. Also, a novel score function is proposed to obtain the consistent value in ranking of the alternatives. The backbone of this research, t-spherical fuzzy preference relation, consistent t-spherical fuzzy preference relations, incomplete t-spherical fuzzy preference relations, consistent incomplete t-spherical fuzzy preference relations, and acceptable incomplete t-spherical fuzzy preference relations are established. Additionally, some ranking and selection algorithms are established using the proposed novel score function and preference relations to tackle the uncertainty in real-life decision-making problems. Finally, evaluation of the product quality of the online shopping platform problem is demonstrated to show the applicability and reliability of proposed technique.

References

[1]
Abad-Segura E., González-Zamar M.D., López-Meneses E. and Vázquez-Cano E., Financial technology: Review of trends, approaches and management,} }(6), Mathematics 8 (2020), 951.
[2]
Akram M., Saleem D. and Al-Hawary T., Spherical fuzzy graphs with application to decision-making, (1), Mathematical and Computational Applications 25 (2020), 8.
[3]
Ashraf S., Abdullah S. and Mahmood T., GRA method based on spherical linguistic fuzzy Choquet integral environment and its application in multi-attribute decision-making problems, Math Sci 12 (2018), 263–275.
[4]
Ashraf S., Mahmood T., Abdullah S. and Khan Q., Different approaches to multi-criteria group decision making problems for picture fuzzy environment, (2), Bulletin of the Brazilian Mathematical Society, New Series 50 (2019), 373–397.
[5]
Ashraf S. and Abdullah S., Spherical aggregation operators and their application in multi-attribute group decision-making, (3), International Journal of Intelligent Systems 34 (2019), 493–523.
[6]
Ashraf S., Abdullah S., Mahmood T., Ghani F. and Mahmood T., Spherical fuzzy sets and their applications in multi-attribute decision making problems, & }, Fuzzy Systems 36 (2019), 2829–2844.
[7]
Ashraf S., Abdullah S., Aslam M., Qiyas M. and Kutbi M.A., Spherical fuzzy sets and its representation of spherical fuzzy t-norms and t-conorms, & }(6), Fuzzy Systems 36 (2019), 6089–6102.
[8]
Ashraf S., Abdullah S. and Mahmood T., Spherical fuzzy Dombi aggregation operators and their application in group decision making problems, Journal of Ambient Intelligence and Humanized Computing 11 (2020), 2731–2749.
[9]
Ashraf S., Abdullah S. and Abdullah L., Child Development Influence Environmental Factors Determined Using Spherical Fuzzy Distance Measures, (8), Mathematics 7 (2019), 661.
[10]
Ashraf S., Abdullah S. and Almagrabi A.O., A new emergency response of spherical intelligent fuzzy decision process to diagnose of COVID19. Soft Computing, (2020), pp. 1–17.
[11]
Ashraf S., Abdullah S. and Aslam M., Symmetric sum based aggregation operators for spherical fuzzy information: Application in multi-attribute group decision making problem, & }(4), Fuzzy Systems 38 (2020), 5241–5255.
[12]
Ashraf S. and Abdullah S., Emergency decision support modeling for COVID-19 based on spherical fuzzy information, (11), International Journal of Intelligent Systems 35 (2020), 1601–1645.
[13]
Attanassov K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87–96.
[14]
Barukab O., Abdullah S., Ashraf S., Arif M. and Khan S.A., A new approach to fuzzy TOPSIS method based on entropy measure under spherical fuzzy information, (12), Entropy 21 (2019), 1231.
[15]
Cao H., Zhang R. and Wang J., Some spherical linguistic Muirhead mean operators with their application to multi-attribute decision making, Journal of Intelligent & Fuzzy Systems (Preprint), pp. 1–15.
[16]
Chinram R., Ashraf S., Abdullah S. and Petchkaew P., Decision Support Technique Based on Spherical Fuzzy Yager Aggregation Operators and Their Application in Wind Power Plant Locations: A Case Study of Jhimpir, Pakistan, Journal of Mathematics 2020.
[17]
Cuong B.C. and Kreinovich V., Picture fuzzy sets-a new concept for computational intelligence problems, Proc. of 3rd World Congress on Information and Communication Technologies (WICT), (2013), pp. 1–6.
[18]
Garg H., Munir M., Ullah K., Mahmood T. and Jan N., Algorithm for T-spherical fuzzy multi-attribute decision making based on improved interactive aggregation operators, }(12), Symmetry 10 (2018), 670.
[19]
Fan L., Yager R.R., Mesiar R. and Jin L., Two-level multi-criteria comprehensive evaluation for preference vectors in online shopping platform evaluation, & }(5), Fuzzy Systems 39 (2020), 7921–7930.
[20]
Gündoğdu F.K. and Kahraman C., A novel spherical fuzzy analytic hierarchy process and its renewable energy application, Soft Computing 24(6) (2020), 4607–4621.
[21]
Jin Y., Ashraf S. and Abdullah S., Spherical Fuzzy Logarithmic Aggregation Operators Based on Entropy and Their Application in Decision Support Systems, Entropy 21 (2019), 628.
[22]
Jin H., Ashraf S., Abdullah S., Qiyas M., Bano M. and Zeng S., Linguistic Spherical Fuzzy Aggregation Operators and Their Applications in Multi-Attribute Decision Making Problems, (5), Mathematics 7 (2019), 413.
[23]
Jin F., Ni Z., Chen H. and Li Y., Approaches to group decision making with intuitionistic fuzzy preference relations based on multiplicative consistency, Knowledge-Based Systems 97 (2016), 48–59.
[24]
Khan M.J., Kumam P., Ashraf S. and Kumam W., Generalized Picture Fuzzy Soft Sets and Their Application in Decision Support Systems, (3), Symmetry 11 (2019), 415.
[25]
Khan S., Abdullah S. and Ashraf S., Picture fuzzy aggregation information based on Einstein operations and their application in decision making, Mathematical Sciences (2019), pp. 1–17.
[26]
Khan S., Abdullah S., Abdullah L. and Ashraf S., Logarithmic Aggregation Operators of Picture Fuzzy Numbers for Multi-Attribute Decision Making Problems, (7), Mathematics 7 (2019), 608.
[27]
Li H., Yin S. and Yang Y., Some preference relations based on q-rung orthopair fuzzy sets, (11), International Journal of Intelligent Systems 34 (2019), 2920–2936.
[28]
Liu P., Khan Q., Mahmood T. and Hassan N., T-spherical fuzzy power Muirhead mean operator based on novel operational laws and their application in multi-attribute group decision making, IEEE Access 7 (2019), 22613–22632.
[29]
Mahmood T., Ullah K., Khan Q. and Jan N., An approach toward decision-making and medical diagnosis problems using the concept of spherical fuzzy sets, (11), Neural Computing and Applications 31 (2019), 7041–7053.
[30]
Mandal P. and Ranadive A.S., Pythagorean fuzzy preference relations and their applications in group decision-making systems, (7), International Journal of Intelligent Systems 34 (2019), 1700–1717.
[31]
Meng F. and Chen X., An approach to incomplete multiplicative preference relations and its application in group decision making, Information Sciences 309 (2015), 119–137.
[32]
Orlovsky S.A., Decision-making with a fuzzy preference relation, (3), Fuzzy sets and systems 1 (1978), 155–167.
[33]
Rafiq M., Ashraf S., Abdullah S., Mahmood T. and Muhammad S., The cosine similarity measures of spherical fuzzy sets and their applications in decision making, J Intell Fuzzy Syst 36 (2019), 6059–6073.
[34]
Saaty T.L., Axiomatic foundation of the analytic hierarchy process, (7), Management Science 32 (1986), 841–855.
[35]
Shishavan S.A.S., Gündoğdu F.K., Farrokhizadeh E., Donyatalab Y. and Kahraman C., Novel similarity measures in spherical fuzzy environment and their applications, Engineering Applications of Artificial Intelligence 94 (2020), 103837.
[36]
Wei G., Picture fuzzy aggregation operators and their application to multiple attribute decision making, (2), J Intell Fuzzy Syst 33 (2017), 713–724.
[37]
Xu G.L., Wan S.P., Wang F., Dong J.Y. and Zeng Y.F., Mathematical programming methods for consistency and consensus in group decision making with intuitionistic fuzzy preference relations, Knowledge-Based Systems 98 (2016), 30–43.
[38]
Xu Z. and Liao H., A survey of approaches to decision making with intuitionistic fuzzy preference relations, Knowledge-Based Systems 80 (2015), 131–142.
[39]
Xu Z., Intuitionistic preference relations and their application in group decision making, (11), Information Sciences 177 (2007), 2363–2379.
[40]
Yager RR. Generalized orthopair fuzzy sets, (5), IEEE Trans Fuzzy Syst 25 (2017), 1222–1230.
[41]
Zadeh L.A., Fuzzy sets, (3), Information and Control 8 (1965), 338–353.
[42]
Zeng S., Ashraf S., Arif M. and Abdullah S., Application of exponential jensen picture fuzzy divergence measure in multi-criteria group decision making, (2), Mathematics 7 (2019), 191.
[43]
Zeng S., Hussain A. and Mahmood T., Irfan M. Ali, S. Ashraf and M. Munir, Covering-Based Spherical Fuzzy Rough Set Model Hybrid with TOPSIS for Multi-Attribute Decision-Making, (4), Symmetry 11 (2019), 547.
[44]
Zedam L., Jan N., Rak E., Mahmood T. and Ullah K., An Approach Towards Decision-Making and Shortest Path Problems Based on T-Spherical Fuzzy Information, International Journal of Fuzzy Systems, (2020). https://doi.org/
[45]
Zhang Y., Li K.W. and Wang Z.J., Prioritization and aggregation of intuitionistic preference relations: a multiplicative-transitivity-based transformation from intuitionistic judgment data to priority weights, (2), Group Decision and Negotiation 26 (2017), 409–436.

Cited By

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  • (2023)Multiple criteria decision analytic methods in management with T-spherical fuzzy informationArtificial Intelligence Review10.1007/s10462-023-10461-z56:12(14087-14157)Online publication date: 1-Dec-2023
  • (2022)Likelihood-based agreement measurements with Pythagorean fuzzy paired point operators to enrichment evaluations and priority determination for an uncertain decision-theoretical analysisEngineering Applications of Artificial Intelligence10.1016/j.engappai.2022.104912113:COnline publication date: 22-Jun-2022

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    Information & Contributors

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    Published In

    cover image Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
    Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology  Volume 41, Issue 6
    2021
    1780 pages

    Publisher

    IOS Press

    Netherlands

    Publication History

    Published: 01 January 2021

    Author Tags

    1. Spherical fuzzy Sets
    2. t-spherical fuzzy set
    3. Improved operational laws
    4. Improved score function
    5. preference relations
    6. incomplete preference relations.

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    View all
    • (2023)Multiple criteria decision analytic methods in management with T-spherical fuzzy informationArtificial Intelligence Review10.1007/s10462-023-10461-z56:12(14087-14157)Online publication date: 1-Dec-2023
    • (2022)Likelihood-based agreement measurements with Pythagorean fuzzy paired point operators to enrichment evaluations and priority determination for an uncertain decision-theoretical analysisEngineering Applications of Artificial Intelligence10.1016/j.engappai.2022.104912113:COnline publication date: 22-Jun-2022

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