RETRACTED ARTICLE: Some applications of intuitionistic fuzzy sets using new similarity measure

Intuitionistic fuzzy statistical correlation algorithm with applications to multicriteria‐based decision‐making processes

“…IFS constituents MD and nonmembership degree (NMD) with the possibility of the existent of hesitation margin (HM) where their sum is always one and . The concept of IFSs has been used to model many practical decision‐making problems with the aid of numerous tools like distance measures, similarity measures, among others 3–21 …”

“…The concept of IFSs has been used to model many practical decision-making problems with the aid of numerous tools like distance measures, similarity measures, among others. [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] Correlation coefficient introduced by Karl Pearson in 1895 is an important technique for measuring interdependency, similarity and interrelationship between two data. Correlation coefficient shows positive sign if two data are directly related, and a negative sign if two data are not directly related.…”

Similarity-Distance Decision-Making Technique and its Applications via Intuitionistic Fuzzy Pairs

“…Wang and Xin [24] introduced a novel weighted distance technique between IFSs with application to the solution of pattern recognition problem, Davvaz and Sadrabadi [7] revised some existing distance techniques and applied them to diagnostic process. Iqbal and Rizwan [16] discussed the relevant of IFSs in medicine and pattern recognition using a new similarity technique. Some relevant similarity techniques of IFSs have been considered and applied in diagnostic analysis, pattern recognition, etc.…”

“…Although the existing similarity measures and their distance counterparts are somewhat significant, they possess some limitations which needed to be strengthened to enhance reliable outputs. While some of the similarity-distance measures have low performance indexes [16,19,20], the ones in [15,17,25] do not take account of the three parameters of IFSs, which adversely influence the performance rating of the similarity-distance measures. The motivation for this work is to propose a robust similarity-distance measure under intuitionistic fuzzy environment, with better performance rating compare to the techniques in [15,16,17,19,20,35].…”

“…While some of the similarity-distance measures have low performance indexes [16,19,20], the ones in [15,17,25] do not take account of the three parameters of IFSs, which adversely influence the performance rating of the similarity-distance measures. The motivation for this work is to propose a robust similarity-distance measure under intuitionistic fuzzy environment, with better performance rating compare to the techniques in [15,16,17,19,20,35]. Specifically, this paper i. revisits certain existing similarity-distance techniques between IFSs, ii.…”