Complex Fuzzy Power Aggregation Operators

A complex fuzzy set is an extension of the fuzzy set, of which membership grades take complex values in the complex unit disk. We present two complex fuzzy power aggregation operators including complex fuzzy weighted power (CFWP) and complex fuzzy ordered weighted power (CFOWP) operators. We then study two geometric properties which include rotational invariance and reflectional invariance for these complex fuzzy aggregation operators. We also apply the new proposed aggregation operators to decision making and illustrate an example to show the validity of the new approach.

[1]  Bo Hu,et al.  The parallelity of complex fuzzy sets and parallelity preserving operators , 2018, Journal of Intelligent & Fuzzy Systems.

[2]  Abraham Kandel,et al.  Complex fuzzy sets , 2002, IEEE Trans. Fuzzy Syst..

[3]  Peide Liu,et al.  Interval-Valued Intuitionistic Fuzzy Power Bonferroni Aggregation Operators and Their Application to Group Decision Making , 2017, Cognitive Computation.

[4]  Bo Hu,et al.  Complex fuzzy arithmetic aggregation operators , 2019, J. Intell. Fuzzy Syst..

[5]  Zhiming Zhang,et al.  Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making , 2013, Inf. Sci..

[6]  Bo Hu,et al.  The Orthogonality between Complex Fuzzy Sets and Its Application to Signal Detection , 2017, Symmetry.

[7]  Abd Ulazeez M. Alkouri,et al.  Linguistic variable, hedges and several distances on complex fuzzy sets , 2014, J. Intell. Fuzzy Syst..

[8]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[9]  Bo Hu,et al.  Complex Fuzzy Geometric Aggregation Operators , 2018, Symmetry.

[10]  Ronald R. Yager,et al.  The power average operator , 2001, IEEE Trans. Syst. Man Cybern. Part A.

[11]  Songsong Dai,et al.  Distance Measures between the Interval-Valued Complex Fuzzy Sets , 2019, Mathematics.

[12]  Guiwu Wei,et al.  Some single-valued neutrosophic Bonferroni power aggregation operators in multiple attribute decision making , 2019, J. Ambient Intell. Humaniz. Comput..

[13]  Abraham Kandel,et al.  Complex fuzzy logic , 2003, IEEE Trans. Fuzzy Syst..

[14]  Peide Liu,et al.  Multiple attribute group decision making method based on interval-valued intuitionistic fuzzy power Heronian aggregation operators , 2017, Comput. Ind. Eng..

[15]  Bo Hu,et al.  The approximate parallelity of complex fuzzy sets , 2018, J. Intell. Fuzzy Syst..

[16]  Scott Dick,et al.  Toward complex fuzzy logic , 2005, IEEE Transactions on Fuzzy Systems.

[17]  Tharam S. Dillon,et al.  Operation properties and delta-equalities of complex fuzzy sets , 2009, Int. J. Approx. Reason..

[18]  Bo Hu,et al.  Distances of complex fuzzy sets and continuity of complex fuzzy operations , 2018, J. Intell. Fuzzy Syst..

[19]  Huayou Chen,et al.  Generalized power aggregation operators and their applications in group decision making , 2012, Comput. Ind. Eng..

[20]  Zeshui Xu,et al.  Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators , 2011, Knowl. Based Syst..

[21]  Peide Liu,et al.  Multiple attribute group decision making methods based on intuitionistic linguistic power generalized aggregation operators , 2014, Appl. Soft Comput..

[22]  Gui-Wu Wei,et al.  Pythagorean fuzzy power aggregation operators in multiple attribute decision making , 2018, Int. J. Intell. Syst..

[23]  Lvqing Bi,et al.  Two Classes of Entropy Measures for Complex Fuzzy Sets , 2019, Mathematics.

[24]  Jing Wang,et al.  Multi-valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi-criteria Group Decision-making Problems , 2015, Int. J. Comput. Intell. Syst..

[25]  Peide Liu,et al.  Some power generalized aggregation operators based on the interval neutrosophic sets and their application to decision making , 2016, J. Intell. Fuzzy Syst..

[26]  Jie Lu,et al.  A Method for Multiple Periodic Factor Prediction Problems Using Complex Fuzzy Sets , 2012, IEEE Transactions on Fuzzy Systems.

[27]  Zeshui Xu,et al.  Power-Geometric Operators and Their Use in Group Decision Making , 2010, IEEE Transactions on Fuzzy Systems.