triangular fuzzy number

August 21, 2022

The similarity of triangular fuzzy numbers is an important metric for application of it. Triangular Fuzzy Number Fuzzy systems application in industrial and scientific Let is a triangular fuzzy number with membership function.

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To do calculations involving this uncertain.

. A and B are two triangular fuzzy numbers where A a l a m a r and B b l b m b r. The symmetric triangular fuzzy number is a fuzzy number represented with 3. There exist several approaches to measure similarity of triangular fuzzy numbers.

A fuzzy number A ¼ abc is said to be a triangular fuzzy number if it has the following mem- bership function Thus the triplet abc forms a triangular fuzzy. A fuzzy set A is called a fuzzy number if it satisfies the following conditions. The triangle fuzzy number 010203 can be presented in a simplified discrete form of pairs x μx as 01001505021 02505030.

Optionally values in y can be used as grouping elements and are coerced to a factor. The membership function x is at least piecewise continuous. Among the various shapes of fuzzy number triangular fuzzy number is the most popular one.

Applications are widespread 3 10. A triplet m 1 m 2 m 3 is known as Triangular Fuzzy Number where m 1 represents smallest likely value m 2 the most probable value and m 3 the largest possible. So the project would be estimated to be a.

A triangular fuzzy number X a a a FR 1 2 3 is said to be positive if X 0Also if X 0then X is said to be a zero triangular fuzzy number and is denoted by X0 and if X 0 then X 0If X. A is normal that is h A 1. Triangular fuzzy number 23 Topsis for Intuitionistic fuzzy triangular number There are many extensions of topsis in literature 36 37 38 46 to deal with fuzzy numbers.

The NPV for the project P 2 is equal to 44397 amu. Table 84 presents the cash inflows and outflows of the project using triangular fuzzy numbers. A triangular fuzzy number is composed of three estimates of some unknown valuethe lowest highest and best estimates.

Let T be max a l b lmax a m b mmax a r b r and T-be min a l b lmin a m b. Definition of Triangular Fuzzy Number TFN. Converts crisp numbers in x to a triangular fuzzy number TFN.

A triplet m 1 m 2 m 3 is known as Triangular Fuzzy Number where m 1 represents smallest likely value m 2 the most probable value.

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