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Aggregation Operators on Triangular Intuitionistic Fuzzy Numbers and its Application to Multi-Criteria Decision Making Problems

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of this work is to present some aggregation operators with triangular intuitionistic fuzzy numbers and study their desirable properties. Firstly, the score function and the accuracy function of triangular intuitionistic fuzzy number are given, the method for ranking triangular intuitionistic fuzzy numbers are developed. Then, some geometric aggregation operators for aggregating triangular intuitionistic fuzzy numbers are developed, such as triangular intuitionistic fuzzy weighted geometric (TIFWG) operator, the triangular intuitionistic fuzzy ordered weighted geometric (TIFOWG) operator and the triangular intuitionistic fuzzy hybrid geometric (TIFHG) operator. Moreover, an application of the new approach to multi-criteria decision making method was proposed based on the geometric average operator of TIFNs, and the new ranking method for TIFNs is used to rank the alternatives. Finally, an example analysis is given to verify and demonstrate the practicality and effectiveness of the proposed method.
Rocznik
Strony
189--208
Opis fizyczny
Bibliogr. 41 poz.
Twórcy
autor
  • School of Management, Hefei University of Technology, Hefei 230009, China
autor
  • Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei 230009, China
autor
  • School of Economics and Management, Zhejiang Normal University, Jinhua 321004, China
Bibliografia
  • [1] Atanassov K. Remark on intuitionistic fuzzy numbers. Notes on intuitionistic fuzzy sets, 13, 2007, 29-32.
  • [2] Atanassov K. Remark on operations “subtraction” over intuitionistic fuzzy sets. Notes on intuitionistic fuzzy sets, 15, 2009, 24-9.
  • [3] Atanassov K. A New Approach to the Distances between Intuitionistic Fuzzy Sets [M]. Information Processing and Management of Uncertainty in Knowledge-Based Systems Theory and Methods. Springer. 2010: 581-90.
  • [4] Atanassov K. On a new approach towards defining intuitionistic fuzzy subtractions. ACTA UNIVERSITATIS MATTHIAE BELII, series MATHEMATICS, 19, 2011, 11-20.
  • [5] Atanassov K., Vassilev P., Tcvetkov R. Intuitionistic Fuzzy Sets, Measures and Integrals. Sofia: "Prof. M. Drinov" Academic Publishing House, 2013.
  • [6] Atanassov K.T. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 1986, 87-96.
  • [7] Atanassov K.T. A theorem for basis operators over intuitionistic fuzzy sets. Mathware & soft computing, 8, 2008, 21-30.
  • [8] Atanassov K.T. New Intuitionistic Fuzzy Operations [M]. On Intuitionistic Fuzzy Sets Theory. Springer. 2012: 195-257.
  • [9] Boran F.E., Genç S., Kurt M., et.al. A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Expert Systems with Applications, 36, 2009, 11363-8.
  • [10] Burillo P., Bustince H., Mohedano V. Some definitions of intuitionistic fuzzy number. First properties; The Proceedings of the 1st Workshop on Fuzzy Based Expert Systems, 1994.
  • [11] Chen Y., Li B. Dynamic multi-attribute decision making model based on triangular intuitionistic fuzzy numbers. Scientia Iranica, 18, 2011, 268-74.
  • [12] Farhadinia B. A theoretical development on the entropy of interval-valued fuzzy sets based on the intuitionistic distance and its relationship with similarity measure. Knowledge-Based Systems, 39, 2013, 79-84.
  • [13] Hwang C.-M., Yang M.-S., Hung W.-L., et.al. A similarity measure of intuitionistic fuzzy sets based on the Sugeno integral with its application to pattern recognition. Information Sciences, 189, 2012, 93-109.
  • [14] Jianqiang W., Zhong Z. Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multi-criteria decision making problems. Systems Engineering and Electronics, Journal of, 20, 2009, 321-6.
  • [15] K. A., G. G. Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31, 1989, 343-9.
  • [16] Li D.-F. A note on “using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly”. Microelectronics Reliability, 48, 2008, 1741.
  • [17] Li D.-F. A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems. Computers & Mathematics with Applications, 60, 2010, 1557-70.
  • [18] Li D.F., Nan J.X., Zhang M.J. A ranking method of triangular intuitionistic fuzzy numbers and application to decision making. International Journal of Computational Intelligence Systems, 3, 2010, 522-30.
  • [19] Liu P., Zhang X. Research on the supplier selection of a supply chain based on entropy weight and improved ELECTRE-III method. International Journal of Production Research, 49, 2011, 637-46.
  • [20] Nan J.-X., Li D.-F., Zhang M.-J. A lexicographic method for matrix games with payoffs of triangular intuitionistic fuzzy numbers. International Journal of Computational Intelligence Systems, 3, 2010, 280-9.
  • [21] Robinson P.J., Amirtharaje C.H. Extended TOPSIS with Correlation Coefficient of Triangular Intuitionistic Fuzzy Sets for Multiple Attribute Group Decision Making. International Journal of Decision Support System Technology (IJDSST), 3, 2011, 15-41.
  • [22] Shu M.-H., Cheng C.-H., Chang J.-R. Using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly. Microelectronics Reliability, 46, 2006, 2139-48.
  • [23] Tan C. A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS. Expert Systems with Applications, 38, 2011, 3023-33.
  • [24] Tcvetkov R., Szmidt E., Kacprzyk J., et.al. A modified Hausdorff distance between intuitionistic fuzzy sets. COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 65, 2012, 1035-42.
  • [25] Wan S.-P. Survey on intuitionistic fuzzy multi-attribute decision making approach. Control and decision, 25, 2010, 1601-6.
  • [26] Wan S.-P., Li D.-F. Possibility mean and variance based method for multi-attribute decision making with triangular intuitionistic fuzzy numbers. Journal of Intelligent and Fuzzy Systems, 24, 2013, 743-54.
  • [27] Wan S.-P., Wang Q.-Y., Dong J.-Y. The extended VIKOR method for multi-attribute group decision making with triangular intuitionistic fuzzy numbers. Knowledge-Based Systems, 52, 2013, 65-77.
  • [28] Wang J.-Q., Nie R., Zhang H.-Y., et.al. New operators on triangular intuitionistic fuzzy numbers and their applications in system fault analysis. Information Sciences, 251, 2013, 79-95.
  • [29] Wang J.-Q., Zhang H.-Y. Multicriteria decision-making approach based on Atanassov's intuitionistic fuzzy sets with incomplete certain information on weights. Fuzzy Systems, IEEE Transactions on, 21, 2013, 510-5.
  • [30] Wang J., Zhang Z. Multi-criteria decision-making method with incomplete certain information based on intuitionistic fuzzy number. Control and decision, 24, 2009, 226-30.
  • [31] Wang Y. Using the method of maximizing deviations to make decision for multi-indices. System Engineering and Electronics, 7, 1998, 24-6.
  • [32] Wei G.-W. Maximizing deviation method for multiple attribute decision making in intuitionistic fuzzy setting. Knowledge-Based Systems, 21, 2008, 833-6.
  • [33] Wei G.-W. GRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting. Knowledge-Based Systems, 23, 2010, 243-7.
  • [34] Wei G. Some Arithmetic Aggregation Operators with Intuitionistic Trapezoidal Fuzzy Numbers and Their Application to Group Decision Making. Journal of Computers, 5, 2010, 345-51.
  • [35] Wu Z., Chen Y. The maximizing deviation method for group multiple attribute decision making under linguistic environment. Fuzzy Sets and Systems, 158, 2007, 1608-17.
  • [36] Xu Z. Intuitionistic fuzzy aggregation operators. Fuzzy Systems, IEEE Transactions on, 15, 2007, 1179-87.
  • [37] Xu Z. Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators. Knowledge-Based Systems, 24, 2011, 749-60.
  • [38] Xu Z., Chen J. On geometric aggregation over interval-valued intuitionistic fuzzy information; The Fourth International Conference on Fuzzy Systems and Knowledge Discovery(FSKD 2007) Haikou, China, 2007.
  • [39] Xu Z., Yager R.R. Some geometric aggregation operators based on intuitionistic fuzzy sets. International Journal of General Systems, 35, 2006, 417-33.
  • [40] Zadeh L.A. Fuzzy sets. Information and control, 8, 1965, 338-53.
  • [41] Zhang S.-F., Liu S.-Y. A GRA-based intuitionistic fuzzy multi-criteria group decision making method for personnel selection. Expert Systems with Applications, 38, 2011, 11401-5.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-788659b1-5646-4d99-9ffd-8efb6128a79b
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