Complex intuitionistic fuzzy Maclaurin symmetric mean operators and its application to emergency program selection

Abstract

Due to the indeterminacy and uncertainty of the decision-makers (DM) in the complex decision making problems of daily life, evaluation and aggregation of the information usually becomes a complicated task. In literature many theories and fuzzy sets (FS) are presented for the evaluation of these decision tasks, but most of these theories and fuzzy sets have failed to explain the uncertainty and vagueness in the decision making issues. Therefore, we use complex intuitionistic fuzzy set (CIFS) instead of fuzzy set and intuitionistic fuzzy set (IFS). A new type of aggregation operation is also developed by the use of complex intuitionistic fuzzy numbers (CIFNs), their accuracy and the score functions are also discussed in detail. Moreover, we utilized the Maclaurin symmetric mean (MSM) operator, which have the ability to capture the relationship among multi-input arguments, as a result, CIF Maclarurin symmetric mean (CIFMSM) operator and CIF dual Maclaurin symmetric mean (CIFDMSM) operator are presented and their characteristics are discussed in detail. On the basis of these operators, a MAGDM method is presented for the solution of group decision making problems. Finally, the validation of the propounded approach is proved by evaluating a numerical example, and by the comparison with the previously researched results.

Applications of the Multiattribute Decision-Making for the Development of the Tourism Industry Using Complex Intuitionistic Fuzzy Hamy Mean Operators

“…In this section, we aim to analyze the aggregated results obtained using the CIFHM operators with the aggregated results obtained using the AOs of Akram et al [ 10 ], Wang et al [ 42 ], Wu et al [ 24 ], Li and Wei [ 37 ], Garg et al [ 39 ], Ali et al [ 43 ], and Fan et al [ 44 ]. The comparison results can be seen in Table 7 .…”

“…Further, the results obtained using Garg et al [ 39 ] and Akram et al [ 10 ](by using CIFHWA operator) give us A 3 is the suitable destination. Moreover, CIFHWG operator by Akram et al [ 10 ] and CIFMSM operator by Ali et al [ 43 ] gave A 5 and A 1 as suitable destinations, respectively. The only reason for having different results is that the operators discussed in [ 10 , 39 , 43 ] do not consider the relationship of the information being used, while our proposed HM operators take into account this factor and hence gave us reliable results.…”

“…Moreover, CIFHWG operator by Akram et al [ 10 ] and CIFMSM operator by Ali et al [ 43 ] gave A 5 and A 1 as suitable destinations, respectively. The only reason for having different results is that the operators discussed in [ 10 , 39 , 43 ] do not consider the relationship of the information being used, while our proposed HM operators take into account this factor and hence gave us reliable results. A geometrical view of comparison results is depicted in Figure 2 followed by the advantages of the proposed work.…”

A New Approach to Decision‐Making Problem under Complex Pythagorean Fuzzy Information

“…In recent years, MSM has received much attention from scholars in various fields. erefore, various essential developments have been made in theory and application of MSM [7,40,41]. So, using the benefits of the MSM and CPF, the fuzziness and ambiguity of the complex system are solved in a better way and the potential of the suggested method is confirmed by a numerical example of the emergency management program.…”

“…e CIFMSM operator introduced by Ali et al [7] is applied successfully for the optimal selection of emergency management program. Atanassov [8] introduced the intuitionistic fuzzy theory, which is an extended form of the fuzzy set (FS) theory [9].…”