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


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[1] Atanassov K. Remark on intuitionistic fuzzy numbers. Notes on intuitionistic fuzzy sets, 13, 2007, 29-32.Search in Google Scholar

[2] Atanassov K. Remark on operations “subtraction” over intuitionistic fuzzy sets. Notes on intuitionistic fuzzy sets, 15, 2009, 24-9.Search in Google Scholar

[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: 581-90.10.1007/978-3-642-14055-6_61Search in Google Scholar

[4] Atanassov K. On a new approach towards defining intuitionistic fuzzy subtractions. ACTA UNIVERSITATIS MATTHIAE BELII, series MATHEMATICS, 19, 2011, 11-20.Search in Google Scholar

[5] Atanassov K., Vassilev P., Tcvetkov R. Intuitionistic Fuzzy Sets, Measures and Integrals. Sofia: "Prof. M. Drinov" Academic Publishing House, 2013.Search in Google Scholar

[6] Atanassov K.T. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 1986, 87-96.10.1016/S0165-0114(86)80034-3Search in Google Scholar

[7] Atanassov K.T. A theorem for basis operators over intuitionistic fuzzy sets. Mathware & soft computing, 8, 2008, 21-30.Search in Google Scholar

[8] Atanassov K.T. New Intuitionistic Fuzzy Operations [M]. On Intuitionistic Fuzzy Sets Theory. Springer. 2012: 195-257.10.1007/978-3-642-29127-2_9Search in Google Scholar

[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, 11363-8.10.1016/j.eswa.2009.03.039Search in Google Scholar

[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.Search in Google Scholar

[11]Chen Y., Li B. Dynamic multi-attribute decision making model based on triangular intuitionistic fuzzy numbers. Scientia Iranica, 18, 2011, 268-74.10.1016/j.scient.2011.03.022Search in Google Scholar

[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, 79-84.10.1016/j.knosys.2012.10.006Search in Google Scholar

[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, 93-109.10.1016/j.ins.2011.11.029Search in Google Scholar

[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.Search in Google Scholar

[15]K. A., G. G. Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31, 1989, 343-9.10.1016/0165-0114(89)90205-4Search in Google Scholar

[16]Li D.-F. A note on “using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly”. Microelectronics Reliability, 48, 2008, 1741.10.1016/j.microrel.2008.07.059Search in Google Scholar

[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, 1557-70.10.1016/j.camwa.2010.06.039Search in Google Scholar

[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, 522-30.10.1080/18756891.2010.9727719Search in Google Scholar

[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, 637-46.10.1080/00207540903490171Search in Google Scholar

[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, 280-9.10.1080/18756891.2010.9727699Search in Google Scholar

[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, 15-41.10.4018/jdsst.2011070102Search in Google Scholar

[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, 2139-48.10.1016/j.microrel.2006.01.007Search in Google Scholar

[23]Tan C. A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS. Expert Systems with Applications, 38, 2011, 3023-33.10.1016/j.eswa.2010.08.092Search in Google Scholar

[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.Search in Google Scholar

[25]Wan S.-P. Survey on intuitionistic fuzzy multi-attribute decision making approach. Control and decision, 25, 2010, 1601-6.Search in Google Scholar

[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, 743-54.10.3233/IFS-2012-0594Search in Google Scholar

[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, 65-77.10.1016/j.knosys.2013.06.019Search in Google Scholar

[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, 79-95.10.1016/j.ins.2013.06.033Search in Google Scholar

[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, 510-5.10.1109/TFUZZ.2012.2210427Search in Google Scholar

[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.Search in Google Scholar

[31]Wang Y. Using the method of maximizing deviations to make decision for multi-indices. System Engineering and Electronics, 7, 1998, 24-6.Search in Google Scholar

[32]Wei G.-W. Maximizing deviation method for multiple attribute decision making in intuitionistic fuzzy setting. Knowledge-Based Systems, 21, 2008, 833-6.10.1016/j.knosys.2008.03.038Search in Google Scholar

[33]Wei G.-W. GRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting. Knowledge-Based Systems, 23, 2010, 243-7.10.1016/j.knosys.2010.01.003Search in Google Scholar

[34]Wei G. Some Arithmetic Aggregation Operators with Intuitionistic Trapezoidal Fuzzy Numbers and Their Application to Group Decision Making. Journal of Computers, 5, 2010, 345-51.10.4304/jcp.5.3.345-351Search in Google Scholar

[35]Wu Z., Chen Y. The maximizing deviation method for group multiple attribute decision making under linguistic environment. Fuzzy Sets and Systems, 158, 2007, 1608-17.10.1016/j.fss.2007.01.013Search in Google Scholar

[36]Xu Z. Intuitionistic fuzzy aggregation operators. Fuzzy Systems, IEEE Transactions on, 15, 2007, 1179-87. 10.1109/TFUZZ.2006.890678Search in Google Scholar

[37]Xu Z. Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators. Knowledge-Based Systems, 24, 2011, 749-60.10.1016/j.knosys.2011.01.011Search in Google Scholar

[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, 2007.10.1109/FSKD.2007.427Search in Google Scholar

[39]Xu Z., Yager R.R. Some geometric aggregation operators based on intuitionistic fuzzy sets. International Journal of General Systems, 35, 2006, 417-33.10.1080/03081070600574353Search in Google Scholar

[40]Zadeh L.A. Fuzzy sets. Information and control, 8, 1965, 338-53.10.1016/S0019-9958(65)90241-XSearch in Google Scholar

[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. 10.1016/j.eswa.2011.03.012Search in Google Scholar

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Computer Sciences, Artificial Intelligence, Software Development