An Exponential Jensen Fuzzy Divergence Measure with Applications in Multiple Attribute Decision-Making

被引:19
|
作者
Joshi, Rajesh [1 ]
Kumar, Satish [2 ]
机构
[1] Maharishi Markandeshwar Univ, Dept Math, Mullana 133207, Ambala, India
[2] Univ Gondar, Coll Nat & Computat Sci, Dept Math, Gondar, Ethiopia
关键词
ENTROPY; DISTANCE; SETS;
D O I
10.1155/2018/4342098
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A divergence measure plays an important role in discriminating two probability distributions and drawing inferences based on such discrimination. This communication introduces one such divergence measure based on Jensen inequality and exponential entropy introduced by Pal and Pal in the settings of probability theory. Further, the idea has been generalized to fuzzy sets to introduce a new fuzzy divergence measure. Besides establishing the validity, some of its major properties are also studied. At last, the application of proposed fuzzy divergence measure is given in strategic decision-making.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] Intuitionistic Fuzzy Jensen-Renyi Divergence: Applications to Multiple-Attribute Decision Making
    Verma, Rajkumar
    Sharma, Bhu Dev
    [J]. INFORMATICA-JOURNAL OF COMPUTING AND INFORMATICS, 2013, 37 (04): : 399 - 409
  • [2] FUZZY MULTIPLE ATTRIBUTE DECISION-MAKING - METHODS AND APPLICATIONS
    CHEN, SJ
    HWANG, CL
    HWANG, FP
    [J]. LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS, 1992, 375 : 1 - 531
  • [3] A multiple attribute decision-making method based on exponential fuzzy numbers
    Fu, Sha
    Fan, Guo-Bing
    [J]. Mathematical and Computational Applications, 2016, 21 (02):
  • [4] A Jensen-α-Norm Dissimilarity Measure for Intuitionistic Fuzzy Sets and Its Applications in Multiple Attribute Decision Making
    Joshi, Rajesh
    Kumar, Satish
    Gupta, Deepak
    Kaur, Hans
    [J]. INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2018, 20 (04) : 1188 - 1202
  • [5] A Jensen-α-Norm Dissimilarity Measure for Intuitionistic Fuzzy Sets and Its Applications in Multiple Attribute Decision Making
    Rajesh Joshi
    Satish Kumar
    Deepak Gupta
    Hans Kaur
    [J]. International Journal of Fuzzy Systems, 2018, 20 : 1188 - 1202
  • [6] Application of Exponential Jensen Picture Fuzzy Divergence Measure in Multi-Criteria Group Decision Making
    Zeng, Shouzhen
    Asharf, Shahzaib
    Arif, Muhammad
    Abdullah, Saleem
    [J]. MATHEMATICS, 2019, 7 (02)
  • [7] A study of cubical fuzzy possibility degree measure and its applications to multiple attribute decision-making problems
    Thilagavathy, A.
    Mohanaselvi, S.
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2022, 43 (06) : 7663 - 7678
  • [8] An (R, S)-norm fuzzy information measure with its applications in multiple-attribute decision-making
    Rajesh Joshi
    Satish Kumar
    [J]. Computational and Applied Mathematics, 2018, 37 : 2943 - 2964
  • [9] A study of cubical fuzzy possibility degree measure and its applications to multiple attribute decision-making problems
    Thilagavathy, A.
    Mohanaselvi, S.
    [J]. Journal of Intelligent and Fuzzy Systems, 2022, 43 (06): : 7663 - 7678
  • [10] An (R, S)-norm fuzzy information measure with its applications in multiple-attribute decision-making
    Joshi, Rajesh
    Kumar, Satish
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (03): : 2943 - 2964