New Distance Measures on Dual Hesitant Fuzzy Sets and Their Application in Pattern Recognition
DOI: 10.23977/jaip.2016.11003 | Downloads: 68 | Views: 3382
Li Xin 1, Zhang Xiaohong 1
1 College of Arts and Sciences, Shanghai Maritime University, Shanghai 201306, China
Corresponding AuthorZhang Xiaohong
The concept of dual hesitant fuzzy sets (DHFSs), which was first introduced as a new extension of fuzzy sets and hesitant fuzzy sets in 2012, is a useful tool to deal with the vagueness and ambiguity in many practical problems under hesitant fuzzy environment. Normally, we use the definition of distance to describe the relationship of two DHFSs. However, considering that the existing distance measures of DHFSs still have some major shortcomings, so in this paper, we firstly introduce a new concept –hesitance degree of each dual hesitant fuzzy element (DHFE) to these existing distance measures and then develop several novel distance measures in which both the values and the numbers of values of DHFE are taken into account. The properties of these new distance measures are discussed. Finally, we apply our proposed distance measures of DHFSs in pattern recognition making to illustrate their validity and applicability.
KEYWORDSDual hesitant fuzzy sets, Distance Measure, Hesitance degree, Pattern recognition.
CITE THIS PAPER
Xin, L. and Xiaohong, Z. (2016) New Distance Measures on Dual Hesitant Fuzzy Sets and Their Application in Pattern Recognition. Journal of Artificial Intelligence Practice (2016) 1: 8-13.
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