triangular fuzzy number

Voskoglou Use of the Triangular Fuzzy Numbers Student Assessmentfor American Journal of Applied Mathematics and Statistics vol. The starting triangular numbers are 1 3 12 6 123 10 1234.

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Recent papers in Triangular Fuzzy Number.

. 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 value of any fuzzy event. Dari kelima bentuk fungsi keanggotaan yang dijelaskan diuraikan diatas fungsi keanggotaan yang sering dipakai dalam aplikasinya adalah fungsi T atau lebih dikenal dengan Triangular Fuzzy Number. Student assessment fuzzy logic Fuzzy Numbers triangular fuzzy numbers.

Triangular fuzzy numbers are used to represent uncertain and incomplete information in decision-making risk evaluation and expert systems. 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 mmin a r b r. Definition of Triangular Fuzzy Number TFN.

On the uncertain and imprecise information so the intuitionistic fuzzy numbers IFV can be used to quantify this situationThis situation can be Handel by Triangular intutionistic fuzzy numbers TrIFN as these are more suitable to model uncertain situations. μ Ai x xa1 a 2a1 for a1 x a2 a3x a3 2 for a2 x a3 0 otherwise and ϑ Ai x1 a2x a 1 1 x a2 xa2 a 3 2 for a2 x a 3 1 otherwise where a. 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 reason for this is simple base line of triangular grid. However some of them are opt to be large. A is normal that is h A 1.

Each numerical value in the. The idea is based on the fact that nth triangular number can be written as sum of n natural numbers that is nn12. Circulant Triangular Fuzzy Number Matrices.

The first row of the circulant matrices play important role in this study. To make the similarity well distributed a new method SIAM Shapes Indifferent Area a. A negative triangular fuzzy number is denoted as a 1 a 2 a 3 where all a is 0 for all i1 2 3.

X dan m x x adalah. 28 Positive triangular fuzzy number. To do calculations involving this uncertain figure it is useful to use fuzzy sets.

The similarity of triangular fuzzy numbers is an important metric for application of it. This weight is called the membership functionA fuzzy number is thus a special case of a convex normalized fuzzy set of the real line. 29 Negative triangular fuzzy number.

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 Y then the triangular numbers X and Y are said to be equivalent and is denoted by X Y Also if. We also study some properties of determinant and adjoint of. A fuzzy number is a generalization of a regular real number in the sense that it does not refer to one single value but rather to a connected set of possible values where each possible value has its own weight between 0 and 1.

A fuzzy number is a quantity whose value is imprecise rather than exact as is the case with ordinary single-valued numbers. Measurement of similarity should keep some parameters of triangular fuzzy numbers. We define an extending difference A B between A and B to be 8 A B T t l -t r- 2 t m -t m- t r -t l- 2 if t l t r-t l -t r- 2 t m -t m- t r -t l- 2.

In this paper we present some operations on circulant triangular fuzzy numbers matrices TFNMs. A positive triangular fuzzy number is denoted as a 1 a 2 a 3 where all a is 0 for all i1 2 3. Fuzzy number merupakan spesial fuzzy set F x.

A fuzzy number A a L a N a R J Figure 31 is said to be a triangular fuzzy number TFN when the membership function is given by. Any fuzzy number can be thought of as a function whose domain is a specified set usually the set of real numbers and whose range is the span of non-negative real numbers between and including 0 and 1000. A fuzzy set A is called a fuzzy number if it satisfies the following conditions.

A triangular fuzzy number is composed of three estimates of some unknown valuethe lowest highest and best estimates. M x x x ÎR dimana nilai x ke dalam garis nyata R 1. Al 43 gave the application of generalized fuzzy topsis in DM for neutrosophic soft set to predict the the.

Traditional set theory includes the idea of exclusively being or not being a member of a set. Shape and midpoint are important metrics of a triangular fuzzy number. Definition Triangular intuitionistic fuzzy number ATIFNAi is a subset of IFN in R with following membership function and non membership function as follows.

The membership function x is at least piecewise continuous. How to check if a number is Triangular. There exist several approaches to measure similarity of triangular fuzzy numbers.

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