A similarity measure of spherical fuzzy soft sets and its application

Spherical fuzzy soft sets (SFSSs) generalize fuzzy soft sets, and are more flexible and reliable than existing other soft set models. In this work, a similarity measure and a corresponding weighted similarity measure between two SFSSs are proposed and some of their basic properties are discussed. Finally, the proposed similarity measure is applied to determine whether or not a patient may have a disease.

[1]  Guiwu Wei,et al.  Some Cosine Similarity Measures for Picture Fuzzy Sets and Their Applications to Strategic Decision Making , 2017, Informatica.

[2]  David L. Olson,et al.  Similarity measures between intuitionistic fuzzy (vague) sets: A comparative analysis , 2007, Pattern Recognit. Lett..

[3]  Shyi-Ming Chen,et al.  A comparison of similarity measures of fuzzy values , 1995 .

[4]  Jun Ye,et al.  Cosine similarity measures for intuitionistic fuzzy sets and their applications , 2011, Math. Comput. Model..

[5]  Pabitra Kumar Maji,et al.  FUZZY SOFT SETS , 2001 .

[6]  Tahir Mahmood,et al.  Spherical fuzzy sets and their applications in multi-attribute decision making problems , 2019, J. Intell. Fuzzy Syst..

[7]  Harish Garg,et al.  A Novel Correlation Coefficients between Pythagorean Fuzzy Sets and Its Applications to Decision‐Making Processes , 2016, Int. J. Intell. Syst..

[8]  Ronald R. Yager,et al.  Pythagorean fuzzy subsets , 2013, 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS).

[9]  K. Atanassov,et al.  Interval-Valued Intuitionistic Fuzzy Sets , 2019, Studies in Fuzziness and Soft Computing.

[10]  Tsau Young Lin,et al.  Combination of interval-valued fuzzy set and soft set , 2009, Comput. Math. Appl..

[11]  H. Lee-Kwang,et al.  Similarity measure between fuzzy sets and between elements , 1994 .

[12]  Pachaiyappan Muthukumar,et al.  A similarity measure of intuitionistic fuzzy soft sets and its application in medical diagnosis , 2016, Appl. Soft Comput..

[13]  Harish Garg,et al.  Spherical fuzzy soft sets and its applications in decision-making problems , 2019, J. Intell. Fuzzy Syst..

[14]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[15]  S. K. Samanta,et al.  SIMILARITY MEASURE OF SOFT SETS , 2008 .

[16]  Peng Xindon,et al.  Pythagorean Fuzzy Soft Set and Its Application , 2015 .

[17]  Miin-Shen Yang,et al.  Similarity measures of intuitionistic fuzzy sets based on Lp metric , 2007, Int. J. Approx. Reason..

[18]  Qinrong Feng,et al.  New Similarity Measures of Fuzzy Soft Sets Based on Distance Measures , 2013 .

[19]  Vladik Kreinovich,et al.  Picture fuzzy sets - A new concept for computational intelligence problems , 2013, 2013 Third World Congress on Information and Communication Technologies (WICT 2013).

[20]  Tahir Mahmood,et al.  Similarity Measures for T-Spherical Fuzzy Sets with Applications in Pattern Recognition , 2018, Symmetry.

[21]  Haifeng Li,et al.  Similarity Measures of Fuzzy Soft Sets Based on Different Distances , 2012, 2012 Fifth International Symposium on Computational Intelligence and Design.

[22]  Cengiz Kahraman,et al.  Spherical fuzzy sets and spherical fuzzy TOPSIS method , 2019, J. Intell. Fuzzy Syst..

[23]  C. Pappis,et al.  A comparative assessment of measures of similarity of fuzzy values , 1993 .

[24]  Chen-Tung Chen,et al.  Aggregation of fuzzy opinions under group decision making , 1996, Fuzzy Sets Syst..

[25]  D. Molodtsov.  Soft set theory—First results , 1999 .

[26]  Guiwu Wei,et al.  Similarity measures of Pythagorean fuzzy sets based on the cosine function and their applications , 2018, Int. J. Intell. Syst..

[27]  Pengfei Shi,et al.  Similarity measures on intuitionistic fuzzy sets , 2003, Pattern Recognit. Lett..

[28]  Janusz Kacprzyk,et al.  Distances between intuitionistic fuzzy sets , 2000, Fuzzy Sets Syst..

[29]  Rami Zwick,et al.  Measures of similarity among fuzzy concepts: A comparative analysis , 1987, Int. J. Approx. Reason..

[30]  Chang Wang,et al.  Entropy, similarity measure and distance measure of vague soft sets and their relations , 2013, Inf. Sci..

[31]  Yong Yang,et al.  Adjustable soft discernibility matrix based on picture fuzzy soft sets and its applications in decision making , 2015, J. Intell. Fuzzy Syst..

[32]  Sunil Jacob John,et al.  Spherical Fuzzy Soft Sets , 2020 .