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   some result on fuzzy integration  
   
نویسنده chaharpashlou reza ,lotfali ghasab ehsan
منبع transactions on fuzzy sets and systems - 2024 - دوره : 3 - شماره : 2 - صفحه:100 -107
چکیده    ‎in this article‎, ‎we introduce a new concept of fuzzy measurement‎, ‎the space of fuzzy measurable functions and fuzzy integral‎, ‎which has a dynamic position and is different from previous approaches‎. ‎with this concept‎, ‎we create a new version of measurement theory and fuzzy integral‎. ‎the main goal of this paper is to define the fuzzy integral in the fuzzy size space‎. ‎first‎, ‎we introduce fuzzy measurable functions and $l^{+}$ essential and related concepts in fuzzy space‎. ‎in the continuation of the work‎, ‎with the help of fuzzy measurable functions‎, ‎we define the fuzzy integral in the fuzzy measurement space and examine the theorems related to it and the relationship between them in the fuzzy measurement space‎. ‎the next step is to establish one of the fundamental convergence theorems with the uniform convergence theorem in the fuzzy measurement space and prove it‎. ‎finally‎, ‎we prove fatou's lemma as an application of the theorems raised in the fuzzy measurement space‎.
کلیدواژه fuzzy measure space ,fuzzy measure ,fuzzy measurable function ,fuzzy integral.
آدرس jundi-shapur university of technology, department of mathematics, iran, jundi-shapur university of technology, department of mathematics, iran
پست الکترونیکی e.l.ghasab@gmail.com
 
   some result on fuzzy integration  
   
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