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   New Cross Entropy on Dempster-Shafer Theory Under Uncertainty  
   
نویسنده khalaj fereshteh ,khalaj mehran ,tavakkoli-moghaddam reza ,pasha einollah
منبع journal of mathematical extension - 2019 - دوره : 13 - شماره : 1 - صفحه:45 -66
چکیده    This paper introduces a new generalized definition of cross entropy for finding a solution of a multi-criteria decision-making (mcdm) problem. new interpretation of a belief function in dempster shafer theory, known as evidence or belief function theory, underuncertainty is presented, which is affected in the decision-making process. belief functions are determined as three elements (i.e., belief degree, uncertainty degree and disbelief degree). then, a belief measure between an alternative and ideal alternative is calculated by cross entropy to rank alternatives and select the most desirable one. finally, the efficiency of the proposed mcdm method is demonstrated by solving a numerical example
کلیدواژه Dempster-Shafer theory ,belief function ,cross entropy ,multi-criteria decision-making ,uncertainty
آدرس islamic azad university, robat karim branch, department of industrial engineering, iran, islamic azad university, robat karim branch, department of industrial engineering, iran, university of tehran, school of industrial engineering, college of engineering, iran, kharazmi university, faculty of mathematical sciences and computer, department of mathematics, iran
پست الکترونیکی pashaeinollah@yahoo.com
 
     
   
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