Order intervals in the metric space of fuzzy numbers

order intervals in the metric space of fuzzy numbers

in this paper, we introduce a function in order to measure the distancebetween two order intervals of fuzzy numbers, and show that this function isa metric. we investigate some properties of this metric, and finally presentan application. we think that this study could provide a more generalframework for researchers studying on interval analysis, fuzzy analysis andfuzzy decision making.

On The Weighted Intervals of Fuzzy Numbers

This article proposes a novel approach to ranking fuzzy numbers based on WLUPM ( weighted lower and upper possibilistic means ). At first, by using this significance, we will compose WIVPM ( weighted intervalvalue possibilistic mean ), that this interval can be used as a crisp set approximation with respect to a fuzzy quantity. Therefore, with that, we define a method for ordering. This method ...

On The Ranking Fuzzy Numbers Using Weighted Metric

System of fuzzy fractional differential equations in generalized metric space

In this paper, we study the existence of integral solutions of fuzzy fractional differential systems with nonlocal conditions under Caputo generalized Hukuhara derivatives. These models are considered in the framework of completegeneralized metric spaces in the sense of Perov. The novel feature of our approach is the combination of the convergentmatrix technique with Schauder fixed point princi...

A Characterization for Compact Sets in the Space of Fuzzy Star-Shaped Numbers with Lp Metric

and Applied Analysis 3 Lemma 12. Let u ∈ S, then the following properties hold: (1) ker(u) ⊂ [u], (2) for anym ∈ ker(u), u−?̂? exists, and for any α ∈ [0, 1], one has [u − ?̂?] α = [u] α − {m} , [u + ?̂?] α = [u] α + {m} , (7) (3) for anym ∈ ker(u), u − ?̂? ∈ S 0 , (4) if {mk} ⊂ R converges to m0 ∈ R, then {?̂?k} converges to ?̂?0 in (S, dp). Proof. (1) Let m ∈ ker(u). By Definition 5, we know that f...

A Fuzzy Metric on the Space of Fuzzy Sets

Metric on the space of fuzzy sets plays a very important role in decision making and some other fuzzy application systems. The purpose of this paper is to give a fuzzy metric on the space of fuzzy numbers and investigate some of its properties. Mathematics Subject Classification: 03E72, 54A40, 54E35