# Trapezoidal fuzzy number

### a-Cut of Trapezoidal Fuzzy Number Matrices

... Trapezoidal fuzzy number’s (TrFNs) are frequently used in ...on fuzzy matrices is available in literature. A brief review on fuzzy matrices is given ...of trapezoidal fuzzy ...

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### Solving Fully Fuzzy Linear Systems with Trapezoidal Fuzzy Number Matrices by Singular Value Decomposition

... fully fuzzy linear system (FFLS) if all coefficients in the system are all fuzzy ...with trapezoidal fuzzy numbers using embedding ...with trapezoidal fuzzy numbers using row ...

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### Solving Fully Fuzzy Linear Systems with Trapezoidal Fuzzy Number Matrices by Partitioning the Block Matrices

... on fuzzy sets and trapezoidal fuzzy numbers are given in section ...using trapezoidal fuzzy number matrices by partitioning the block ...

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### Solution of LR fuzzy linear system with trapezoidal fuzzy number using matrix theory

... with trapezoidal fuzzy number using matrix ...method, fuzzy operations are not required and the solution obtained is either fuzzy or non-fuzzy exact ...

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### Solving fuzzy linear programming problem for fuzzy fourier motzkin elimination algorithm by trapezoidal fuzzy number

... manipulating linear inequalities can be adapted to solve LP models. The theoretical insight given by this method is demonstrated as well as its clear geometrical interpretation. It has been rediscovered a number ...

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### Cholesky Decomposition Method for Solving Fully Fuzzy Linear System of Equations with Trapezoidal Fuzzy Number

... Definition 2.1. The characteristic function of a crisp set A of X assigns a value either 0 or 1 to each member in X. This function can be generalized to a function such that the value assigned to the element of the ...

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### Solution of Fuzzy Maximal Flow Network Problem Based on Generalized Trapezoidal Fuzzy Numbers with Rank and Mode

... the fuzzy maximal flow between source and sink was proposed by Kumar et ...triangular fuzzy numbers as network ...generalized fuzzy numbers in many cases [8]. Generalized trapezoidal ...

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### A Modified Approach on Fuzzy Time Series Forecasting

... to trapezoidal approximation of fuzzy numbers, called the nearest trapezoidal approximation operator preserving expected interval and possesses many desired ...a trapezoidal fuzzy ...

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### A New Approach for Type–2 Fuzzy Shortest Path Problem Based on Statistical Beta Distribution

... of fuzzy shortest path problem on a network by ranking ...the fuzzy shortest path and fuzzy shortest path length in which type-2 trapezoidal fuzzy number is assigned to each arc ...

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### RANKING OF HEPTAGONAL FUZZY NUMBERS USING INCENTRE OF CENTROIDS

... of fuzzy set theory deals with imprecision, vagueness in real life ...the fuzzy environment. Later on, fuzzy methodologies have been successfully applied in a wide range of real world ...ranking ...

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### Z-number α-Cut For DEA Using Trapezoidal Fuzzy Numbers

... triangular fuzzy numbers. The second number (B) is a degree of relia- bility (certainty) that Y is ...triangular fuzzy numbers to han- dled data that are ...the trapezoidal fuzzy ...

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### Optimal Solution For Fuzzy Transportation Problem Using Stepping-Stone Method

... balanced fuzzy transportation problem are consider We have proposed a new algorithm for the fuzzy optimal solution to the given fuzzy transportation problem with trapezoidal fuzzy ...

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### Matrix Games with Trapezoidal Fuzzy Pay Offs

... of fuzzy matrix games are referred as matrix games with fuzzy goal and matrix games with fuzzy pay ...interval number and symmetric triangular fuzzy ...the trapezoidal numbers ...

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### Trapezoidal Approximation of a Fuzzy Number Preserving the Expected Interval and Including the Core

... to trapezoidal approximation of general fuzzy ...the trapezoidal fuzzy number which is the best one with respect to a tain measure of distance between fuzzy numbers, ...

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### A Generalized Model for Fuzzy Linear Programs with Trapezoidal Fuzzy Numbers

... symmetric trapezoidal fuzzy number which is introduced by Ganesan et ...of trapezoidal fuzzy ...two trapezoidal fuzzy ...the fuzzy linear programming and the primal ...

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### Applications Of Fuzzy Number Mathematics

... Klaua(1965)[7]. Fuzzy set theory permits the gradual assessment of the membership of elements in a set which is described in the interval [0, ...the fuzzy numbers as a fuzzy subset of the real ...

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### Fuzzy Shortest Path with α- Cuts

... Consider a directed network G(V, E), consisting of a finite set of nodes V = 1, … , n and a set of m directed edges E ⊆ V × V. Each edge is denoted by an ordered pair (𝑖, 𝑗), where 𝑖, 𝑗 ∈ 𝑉. Each edge is assigned to a ...

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### 8. Generalized Trapezoidal Fuzzy Numbers with Rank and Divergence Provide the Optimal Outcome of Fuzzy Maximal Flow Network

... the fuzzy maximal flow network between source and sink with generalized trapezoidal fuzzy numbers with only ...getting fuzzy maximal flow network between source and sink for generalized ...

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### Some Properties and Theorems on Fuzzy Trident Distance

... of fuzzy numbers using a fuzzy distance measure in the year 2002 ...the fuzzy distance of trapezoidal fuzzy numbers in the year 2008 ...triangular fuzzy number for solving ...

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### Multi-objective Assignment Problem with Generalized Trapezoidal Fuzzy Numbers

... based fuzzy goal programming with generalized trapezoidal fuzzy numbers has been ...generalized trapezoidal fuzzy numbers to check the effectiveness of the proposed ...generalized ...

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