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   specific complete measure in the structure of a utility function  
   
نویسنده mohammadzadeh somayeh
منبع journal of mathematical extension - 2021 - دوره : 15 - شماره : 4 - صفحه:1 -8
چکیده    In this article, an outer measure is constructed on a pseudoordered set (x, %) and then it will be shown that it is in fact a measure defined on the whole power set of x . applying this, a measurable utility function θ is defined which represents the relation % on x. also, we discuss the continuity and upper semi-continuity of θ in certain points of x. finally, the results are used to improve some of the theorems in economics.
کلیدواژه measure ,utility function ,continuous ,upper semi-continuous
آدرس university of bojnord, iran
پست الکترونیکی smohamad@ub.ac.ir
 
     
   
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