Research Article
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Year 2020, Issue: 32, 40 - 50, 30.09.2020

Rana Muhammad Zulqarnaın , Muhammad Saeed , Bagh Ali , Sohaib Abdal , Muhammad Saqlaın , Muhammad İrfan Ahamad , Zeeshan Zafar

Abstract

References

  • K. Yoon, C. L. Hwang, Multi Attribute Decision Making Methods and Applications, Springer-Verlag, Berlin Heidelberg, 1981.
  • M. Zulqarnain, F. Dayan, and M. Saeed, TOPSIS Analysis for The Prediction of Diabetes Based on General Characteristics of Humans, International Journal of Pharmaceutical Sciences and Research 9(7) (2018) 2932-2939.
  • M. Zulqarnain, S. Abdal, M. I. Ahamad, Z. Zafar, B. E. Ali, S. Younas, A. Maalik, A. Mariam, F. Dayan, Application of TOPSIS Method in Decision Making via Soft Set, Biomedical Journal of Scientific and Technical Research 24(3) (2017) 18208-18215.
  • S. M. S. Tonekaboni, K. Shahroudi, Application of Topsis Method To Supplier Selection in Iran Auto Supply Chain, Journal of Global Strategic Management 6(2) (2012) 123-123.
  • A. Sarkar, A TOPSIS Method to Evaluate The Technologies, International Journal of Quality & Reliability Management 31(1) (2013) 2-13.
  • Z. Pavić, V. Novoselac, Notes on TOPSIS Method, International Journal of Engineering Research and General Science 1(2) (2013) 5-12.
  • J. Wielki, M. Jurczyk-Bunkowska, D. Madera, Application of TOPSIS Method for Evaluation of IT Application in The Hospital, 20th European Conference on Knowledge Management ECKM 2 (2019) 1096-1104.
  • R. M. Zulqarnain, M. Saeed, N. Ahmad, F. Dayan, B. Ahmad, Application of TOPSIS Method for Decision Making, International Journal of Scientific Research in Mathematical and Statistical Sciences 7(2) (2020) 76-81.
  • R. M. Zulqarnain, S. Abdal, B. Ali, L. Ali, F. Dayan, M. I. Ahamad, Z. Zafar, Selection of Medical Clinic for Disease Diagnosis by Using TOPSIS Method, International Journal of Pharmaceutical Sciences Review and Research 61(1) (2020) 22-27. [ R. M. Zulqarnain, X. L. Xin, M. Saeed, N. Ahmad, F. Dayan, B. Ahmad, Recruitment of Medical Staff in Health Department by Using TOPSIS Method, International Journal of Pharmaceutical Sciences Review and Research 62(1) (2020) 1-7.
  • C. T. Chen, Extensions of The TOPSIS for Group Decision-Making under Fuzzy Environment, Fuzzy Sets and Systems 114(1) (2020) 1-9.
  • T. C. Chu, Y. C. Lin, Improved Extensions of The TOPSIS for Group Decision Making under Fuzzy Environment, Journal of Information and Optimization Sciences 23(2) (2002) 273-286.
  • Y. M. Wang, T. M. S. Elhag, Fuzzy TOPSIS Method Based on Alpha Level Sets with An Application to Bridge Risk Assessment, Expert Systems with Applications 31(2) (2006) 309-319.
  • L. Dymova, P. Sevastjanov, A. Tikhonenko, An Approach to Generalization of Fuzzy TOPSIS Method, Information Sciences 238 (2013) 149-162.
  • N. Parveen, P. N. Kamble, Decision-Making Problem Using Fuzzy TOPSIS Method with Hexagonal Fuzzy Number, Computing in Engineering and Technology (2020) 421-430.
  • M. Zulqarnain, M. Saeed, A New Decision Making Method on Interval Valued Fuzzy Soft Matrix (IVFSM), British Journal of Mathematics & Computer Science 20(5) (2017) 1-17.
  • R. M. Zulqarnain, M. Saeed, B. Ali, N. Ahmad, L. Ali, S. Abdal, Application of Interval valued Fuzzy Soft Max-Min Decision Making Method, International Journal of Mathematical Research. 9(1) (2020) 11-19.
  • R. M. Zulqarnain, X. L. Xin, M. Saeed, N. Ahmad, F. Dayan, B. Ahmad, Application of Interval Valued Fuzzy Soft Max-Min Decision Making Method in Medical Diagnosis, International Journal of Pharmaceutical Sciences Review and Research 62(1) (2020) 56-60.
  • M. Akram, W. A. Dudek, F. Ilyas, Group Decision-Making Based on Pythagorean Fuzzy TOPSIS Method, International Journal of Intelligent Systems 34(7) (2019) 1455-1475.
  • M. Yavuz, Equipment Selection by Using Fuzzy TOPSIS Method, IOP Conf. Series: Earth and Environmental Science 44(4) (2016) 1-5.
  • J. F. Ding, An Integrated Fuzzy Topsis Method for Ranking Alternatives and Its Application, Journal of Marine Science and Technology 19(4) (2011) 341-352.
  • M. Sevkli, S. Zaim, A. Turkyilmaz, M. Satir, An Application of Fuzzy TOPSIS Method for Supplier Selection, IEEE International Conference on Fuzzy Systems (2010) 18-23 Barcelona, Spain.
  • S. Eslamian Shiraz, Ü. Şengül, M. Eren, Determination of Extended Fuzzy TOPSIS Method of Criteria Leading to Supplier Selection for Industries, Asian Social Science 10(4) (2014) 183-194.
  • A. Yeşim Yayla, A. Yildiz, A. Özbek, Fuzzy TOPSIS Method in Supplier Selection and Application in The Garment Industry, Fibres and Textiles in Eastern Europe 93(4) (2012) 20-23.
  • M. Zulqarnain, Choose Best Criteria for Decision Making Via Fuzzy Topsis Method, Mathematics and Computer Science 2(6) (2017) 113-119.
  • G. R. Jahanshahloo, F. H. Lotfi, M. Izadikhah, Extension of The TOPSIS Method for Decision-Making Problems with Fuzzy Data, Applied Mathematics and Computation 181(2) (2006) 1544-1551.
  • S. A. S. Ahmad, D. Mohamad, A Comparative Analysis between Fuzzy Topsis and Simplified Fuzzy Topsis, AIP Conference Proceedings 1870(1) (2017).
  • K. Boran, An Evaluation of Power Plants in Turkey: Fuzzy TOPSIS Method, Energy Sources, Part B: Economics, Planning, and Policy 12(2) (2017) 119-125.
  • M. Zulqarnain, F. Dayan, Selection of Best Alternative For An Automotive Company by Intuitionistic Fuzzy TOPSIS Method, International Journal of Scientific and Technology research 6(10) (2017) 126-132.
  • T. C. Chu, Selecting Plant Location via A Fuzzy TOPSIS Approach, The International Journal of Advanced Manufacturing Technology 20(11) (2002) 859-864.
  • K. Aliyeva, Multifactor Personnel Selection by the Fuzzy TOPSIS Method, International Conference on Theory and Applications of Fuzzy Systems and Soft Computing, Springer 1 (2019) 478-483.
  • L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.
  • A. R. R. Supriya Kumar De, Ranjit Biswas, An Application of Intuitionistic Fuzzy Sets in Medical Diagnosis, Fuzzy Sets and Systems 117 (2001) 209-213.
  • R. N. Jamil, T. Rashid, Application of Dual Hesitant Fuzzy Geometric Bonferroni Mean Operators in Deciding an Energy Policy for the Society, Mathematical Problems in Engineering Article ID 4541982 (2018)14 pages.
  • I. Beg, R. N Jamil, T. Rashid, Diminishing Choquet Hesitant 2-tuple Linguistic Aggregation Operator for Multiple Attributes Group Decision Making, International Journal of Analysis and Applications 17(1) (2019) 76-104.

Generalized Fuzzy TOPSIS to Solve Multi-Criteria Decision-Making Problems

Year 2020, Issue: 32, 40 - 50, 30.09.2020

Rana Muhammad Zulqarnaın , Muhammad Saeed , Bagh Ali , Sohaib Abdal , Muhammad Saqlaın , Muhammad İrfan Ahamad , Zeeshan Zafar

Abstract

Multiple Criteria Decision Making (MCDM) is a process in which we choose the best alternative from all feasible alternatives. In this paper, we study fuzzy sets with some basic concepts and fuzzy TOPSIS (technique for order preference by similarity to ideal solution) method. We proposed the TOPSIS method under a fuzzy environment and expressed the rating of each alternative and weight of each criterion in the form of a triangular fuzzy number. Finally, we used the proposed method for decision making in the garments industry for the selection of supplier.

Keywords

Fuzzy set Triangular fuzzy number (TFN) Fuzzy TOPSIS MCDM

References

  • K. Yoon, C. L. Hwang, Multi Attribute Decision Making Methods and Applications, Springer-Verlag, Berlin Heidelberg, 1981.
  • M. Zulqarnain, F. Dayan, and M. Saeed, TOPSIS Analysis for The Prediction of Diabetes Based on General Characteristics of Humans, International Journal of Pharmaceutical Sciences and Research 9(7) (2018) 2932-2939.
  • M. Zulqarnain, S. Abdal, M. I. Ahamad, Z. Zafar, B. E. Ali, S. Younas, A. Maalik, A. Mariam, F. Dayan, Application of TOPSIS Method in Decision Making via Soft Set, Biomedical Journal of Scientific and Technical Research 24(3) (2017) 18208-18215.
  • S. M. S. Tonekaboni, K. Shahroudi, Application of Topsis Method To Supplier Selection in Iran Auto Supply Chain, Journal of Global Strategic Management 6(2) (2012) 123-123.
  • A. Sarkar, A TOPSIS Method to Evaluate The Technologies, International Journal of Quality & Reliability Management 31(1) (2013) 2-13.
  • Z. Pavić, V. Novoselac, Notes on TOPSIS Method, International Journal of Engineering Research and General Science 1(2) (2013) 5-12.
  • J. Wielki, M. Jurczyk-Bunkowska, D. Madera, Application of TOPSIS Method for Evaluation of IT Application in The Hospital, 20th European Conference on Knowledge Management ECKM 2 (2019) 1096-1104.
  • R. M. Zulqarnain, M. Saeed, N. Ahmad, F. Dayan, B. Ahmad, Application of TOPSIS Method for Decision Making, International Journal of Scientific Research in Mathematical and Statistical Sciences 7(2) (2020) 76-81.
  • R. M. Zulqarnain, S. Abdal, B. Ali, L. Ali, F. Dayan, M. I. Ahamad, Z. Zafar, Selection of Medical Clinic for Disease Diagnosis by Using TOPSIS Method, International Journal of Pharmaceutical Sciences Review and Research 61(1) (2020) 22-27. [ R. M. Zulqarnain, X. L. Xin, M. Saeed, N. Ahmad, F. Dayan, B. Ahmad, Recruitment of Medical Staff in Health Department by Using TOPSIS Method, International Journal of Pharmaceutical Sciences Review and Research 62(1) (2020) 1-7.
  • C. T. Chen, Extensions of The TOPSIS for Group Decision-Making under Fuzzy Environment, Fuzzy Sets and Systems 114(1) (2020) 1-9.
  • T. C. Chu, Y. C. Lin, Improved Extensions of The TOPSIS for Group Decision Making under Fuzzy Environment, Journal of Information and Optimization Sciences 23(2) (2002) 273-286.
  • Y. M. Wang, T. M. S. Elhag, Fuzzy TOPSIS Method Based on Alpha Level Sets with An Application to Bridge Risk Assessment, Expert Systems with Applications 31(2) (2006) 309-319.
  • L. Dymova, P. Sevastjanov, A. Tikhonenko, An Approach to Generalization of Fuzzy TOPSIS Method, Information Sciences 238 (2013) 149-162.
  • N. Parveen, P. N. Kamble, Decision-Making Problem Using Fuzzy TOPSIS Method with Hexagonal Fuzzy Number, Computing in Engineering and Technology (2020) 421-430.
  • M. Zulqarnain, M. Saeed, A New Decision Making Method on Interval Valued Fuzzy Soft Matrix (IVFSM), British Journal of Mathematics & Computer Science 20(5) (2017) 1-17.
  • R. M. Zulqarnain, M. Saeed, B. Ali, N. Ahmad, L. Ali, S. Abdal, Application of Interval valued Fuzzy Soft Max-Min Decision Making Method, International Journal of Mathematical Research. 9(1) (2020) 11-19.
  • R. M. Zulqarnain, X. L. Xin, M. Saeed, N. Ahmad, F. Dayan, B. Ahmad, Application of Interval Valued Fuzzy Soft Max-Min Decision Making Method in Medical Diagnosis, International Journal of Pharmaceutical Sciences Review and Research 62(1) (2020) 56-60.
  • M. Akram, W. A. Dudek, F. Ilyas, Group Decision-Making Based on Pythagorean Fuzzy TOPSIS Method, International Journal of Intelligent Systems 34(7) (2019) 1455-1475.
  • M. Yavuz, Equipment Selection by Using Fuzzy TOPSIS Method, IOP Conf. Series: Earth and Environmental Science 44(4) (2016) 1-5.
  • J. F. Ding, An Integrated Fuzzy Topsis Method for Ranking Alternatives and Its Application, Journal of Marine Science and Technology 19(4) (2011) 341-352.
  • M. Sevkli, S. Zaim, A. Turkyilmaz, M. Satir, An Application of Fuzzy TOPSIS Method for Supplier Selection, IEEE International Conference on Fuzzy Systems (2010) 18-23 Barcelona, Spain.
  • S. Eslamian Shiraz, Ü. Şengül, M. Eren, Determination of Extended Fuzzy TOPSIS Method of Criteria Leading to Supplier Selection for Industries, Asian Social Science 10(4) (2014) 183-194.
  • A. Yeşim Yayla, A. Yildiz, A. Özbek, Fuzzy TOPSIS Method in Supplier Selection and Application in The Garment Industry, Fibres and Textiles in Eastern Europe 93(4) (2012) 20-23.
  • M. Zulqarnain, Choose Best Criteria for Decision Making Via Fuzzy Topsis Method, Mathematics and Computer Science 2(6) (2017) 113-119.
  • G. R. Jahanshahloo, F. H. Lotfi, M. Izadikhah, Extension of The TOPSIS Method for Decision-Making Problems with Fuzzy Data, Applied Mathematics and Computation 181(2) (2006) 1544-1551.
  • S. A. S. Ahmad, D. Mohamad, A Comparative Analysis between Fuzzy Topsis and Simplified Fuzzy Topsis, AIP Conference Proceedings 1870(1) (2017).
  • K. Boran, An Evaluation of Power Plants in Turkey: Fuzzy TOPSIS Method, Energy Sources, Part B: Economics, Planning, and Policy 12(2) (2017) 119-125.
  • M. Zulqarnain, F. Dayan, Selection of Best Alternative For An Automotive Company by Intuitionistic Fuzzy TOPSIS Method, International Journal of Scientific and Technology research 6(10) (2017) 126-132.
  • T. C. Chu, Selecting Plant Location via A Fuzzy TOPSIS Approach, The International Journal of Advanced Manufacturing Technology 20(11) (2002) 859-864.
  • K. Aliyeva, Multifactor Personnel Selection by the Fuzzy TOPSIS Method, International Conference on Theory and Applications of Fuzzy Systems and Soft Computing, Springer 1 (2019) 478-483.
  • L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.
  • A. R. R. Supriya Kumar De, Ranjit Biswas, An Application of Intuitionistic Fuzzy Sets in Medical Diagnosis, Fuzzy Sets and Systems 117 (2001) 209-213.
  • R. N. Jamil, T. Rashid, Application of Dual Hesitant Fuzzy Geometric Bonferroni Mean Operators in Deciding an Energy Policy for the Society, Mathematical Problems in Engineering Article ID 4541982 (2018)14 pages.
  • I. Beg, R. N Jamil, T. Rashid, Diminishing Choquet Hesitant 2-tuple Linguistic Aggregation Operator for Multiple Attributes Group Decision Making, International Journal of Analysis and Applications 17(1) (2019) 76-104.
There are 34 citations in total.

Details

Primary Language English
Subjects Applied Mathematics
Journal Section Research Article
Authors

Rana Muhammad Zulqarnaın 0000-0002-2656-8679

Muhammad Saeed 0000-0002-7284-6908

Bagh Ali 0000-0002-5501-4181

Sohaib Abdal

Muhammad Saqlaın 0000-0003-3617-6043

Muhammad İrfan Ahamad

Zeeshan Zafar

Publication Date September 30, 2020
Submission Date January 17, 2020
Published in Issue Year 2020 Issue: 32

Cite

APA Zulqarnaın, R. M., Saeed, M., Ali, B., Abdal, S., et al. (2020). Generalized Fuzzy TOPSIS to Solve Multi-Criteria Decision-Making Problems. Journal of New Theory(32), 40-50.
AMA Zulqarnaın RM, Saeed M, Ali B, Abdal S, Saqlaın M, Ahamad Mİ, Zafar Z. Generalized Fuzzy TOPSIS to Solve Multi-Criteria Decision-Making Problems. JNT. September 2020;(32):40-50.
Chicago Zulqarnaın, Rana Muhammad, Muhammad Saeed, Bagh Ali, Sohaib Abdal, Muhammad Saqlaın, Muhammad İrfan Ahamad, and Zeeshan Zafar. “Generalized Fuzzy TOPSIS to Solve Multi-Criteria Decision-Making Problems”. Journal of New Theory, no. 32 (September 2020): 40-50.
EndNote Zulqarnaın RM, Saeed M, Ali B, Abdal S, Saqlaın M, Ahamad Mİ, Zafar Z (September 1, 2020) Generalized Fuzzy TOPSIS to Solve Multi-Criteria Decision-Making Problems. Journal of New Theory 32 40–50.
IEEE R. M. Zulqarnaın, M. Saeed, B. Ali, S. Abdal, M. Saqlaın, M. İ. Ahamad, and Z. Zafar, “Generalized Fuzzy TOPSIS to Solve Multi-Criteria Decision-Making Problems”, JNT, no. 32, pp. 40–50, September 2020.
ISNAD Zulqarnaın, Rana Muhammad et al. “Generalized Fuzzy TOPSIS to Solve Multi-Criteria Decision-Making Problems”. Journal of New Theory 32 (September 2020), 40-50.
JAMA Zulqarnaın RM, Saeed M, Ali B, Abdal S, Saqlaın M, Ahamad Mİ, Zafar Z. Generalized Fuzzy TOPSIS to Solve Multi-Criteria Decision-Making Problems. JNT. 2020;:40–50.
MLA Zulqarnaın, Rana Muhammad et al. “Generalized Fuzzy TOPSIS to Solve Multi-Criteria Decision-Making Problems”. Journal of New Theory, no. 32, 2020, pp. 40-50.
Vancouver Zulqarnaın RM, Saeed M, Ali B, Abdal S, Saqlaın M, Ahamad Mİ, Zafar Z. Generalized Fuzzy TOPSIS to Solve Multi-Criteria Decision-Making Problems. JNT. 2020(32):40-5.
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