Fuzzy numbers and basic concepts of summability
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Abstract (EN)
The present thesis unsist of ï¬ve chapters. In the ï¬rst chapter the deï¬nitionof fuzzy sets which introduced by Zadeh and their some properties such as union,intersection, complement, convexsity, etc. were given.In the second chapter is devoted to the some properties of a real interval andalso the deï¬nition of fuzzy number and their algebraic operations.The third chapter is concerned with sequences of fuzzy numbers. In this chapterthe deï¬nition of convergence of a sequence of fuzzy numbers is given. The spacesof bounded, convergent and p-summable sequences of fuzzy numbers are introducedand noted that they are complete metric spaces. Additionally, levelwise convergenceof a sequence of fuzzy numbers is deï¬ned.In the fourth chapter, the theorem related to the supremum and inï¬mum of abounded set of fuzzy numbers was given and their some properties were stated.In the fourth chapter, the statistical convergence of a sequence of fuzzy num-bers and some related theorems were given.ii
Author
Özer Talo
How to Cite
Özer Talo (Master Thesis). Fuzzy numbers and basic concepts of summability, 2006, İnönü University.
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