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Equivalence of Common Metrics on Trapezoidal Fuzzy Numbers

open access: yesAxioms
From both theoretical and applied perspectives, the trapezoidal fuzzy numbers are widely relevant fuzzy sets. In this paper, we show that the four kinds of common metrics—the supremum metric, the Lp-type dp metrics, the sendograph metric, and the ...
Qingsong Mao, Huan Huang
doaj   +4 more sources

A new approach for ranking of trapezoidal fuzzy numbers [PDF]

open access: yesComputers and Mathematics With Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saeid Abbasbandy
exaly   +5 more sources

On improving trapezoidal and triangular approximations of fuzzy numbers [PDF]

open access: yesInternational Journal of Approximate Reasoning, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chi-Tsuen Yeh
exaly   +5 more sources

Approximations of fuzzy numbers by trapezoidal fuzzy numbers preserving the ambiguity and value [PDF]

open access: yesComputers and Mathematics With Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lucian Coroianu
exaly   +4 more sources

Proposing a new approach for solving intuitionistic fuzzy linear programming problem with non-symmetric parameters [PDF]

open access: yesتصمیم گیری و تحقیق در عملیات, 2021
In this paper, we deal with a linear programming problem with non-symmetric trapezoidal intuitionistic fuzzy numbers. In recent years, many authors have studied the symmetric trapezoidal intuitionistic fuzzy numbers. After defining a ranking function and
Morteza Goli   +2 more
doaj   +1 more source

Optimization of fuzzy linear fractional programming problem with fuzzy numbers [PDF]

open access: yesBig Data and Computing Visions, 2021
In this paper, we consider a Fuzzy Linear Fractional Programming (FLFP) problem under the condition that the objective function and the values of the right-hand side are represented by symmetric trapezoidal fuzzy numbers while the left-hand side ...
Sapan Das
doaj   +1 more source

Nearest fuzzy number of type L-R to an arbitrary fuzzy number with applications to fuzzy linear system [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2023
The fuzzy operations on fuzzy numbers of type L-R are much easier than general fuzzy numbers. It would be interesting to approximate a fuzzy number by a fuzzy number of type L-R.
S.M. Alavi
doaj   +1 more source

Transformation Linear Membership Function by Using the Modified S- Curve [PDF]

open access: yesالمجلة العراقية للعلوم الاحصائية, 2011
In this paper, we concentrate on two cases of fuzzy linear programming problems (FLPP): LPP with coefficient of objective function and coefficient of available resources and constraint are trapezoidal and triangular of fuzzy numbers respectively.
Abdul Rahim K.Rahi and Shorish Omer Abdulla
doaj   +1 more source

A new approach for ranking of intuitionistic fuzzy numbers [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2020
The concept of an intuitionistic fuzzy number (IFN) is of importance for representing an ill-known quantity. Ranking fuzzy numbers plays a very important role in the decision process, data analysis and applications. The concept of an IFN is of importance
Suresh Mohan   +2 more
doaj   +1 more source

Fuzzy Distance of Trapezoidal Fuzzy Numbers [PDF]

open access: yesAdvances in Intelligent Systems Research, 2006
Fuzzy distance is applied on data analysis, classification, and product positioning analysis widely. In this paper, We introduce a fuzzy distance by using graded mean integration representation of generalized fuzzy number and the span of fuzzy number, We also discuss the distance of the linguistic data of “greater or less than x” and “about x”.
Shan-Huo Chen, Chien-Chung Wang
openaire   +1 more source

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