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Oriented Fuzzy Numbers vs. Fuzzy Numbers [PDF]

open access: yesMathematics, 2021
A formal model of an imprecise number can be given as, inter alia, a fuzzy number or oriented fuzzy numbers. Are they formally equivalent models? Our main goal is to seek formal differences between fuzzy numbers and oriented fuzzy numbers.
Krzysztof Piasecki   +1 more
doaj   +2 more sources

Representing fuzzy numbers for fuzzy calculus [PDF]

open access: yes, 2007
In this paper we illustrate the LU representation of fuzzy numbers and present an LU-fuzzy calculator, in order to explain the use of the LU-fuzzy model and to show the advantage of the parametrization. The model can be applied either in the level-cut or
Laerte Sorini, Luciano Stefanini
core   +3 more sources

An Approximation of Fuzzy Numbers Based on Polynomial Form Fuzzy Numbers

open access: yesInternational Journal of Analysis and Applications, 2018
In this paper, we approximate an arbitrary fuzzy number by a polynomial fuzzy number through minimizing the distance between them. Throughout this work, we used a distance that is a meter on the set of all fuzzy numbers with continuous left and right ...
Sh. Yeganehmanesh, M. Amirfakhrian
doaj   +4 more sources

Fully fuzzy transportation problems with pentagonal and hexagonal fuzzy numbers [PDF]

open access: yesJournal of Applied Research on Industrial Engineering, 2021
The aim of this paper is to introduce a formulation of fully fuzzy transportation problems involving pentagonal and hexagonal fuzzy numbers for the transportation costs and values of supplies and demands.
Ladji Kane   +4 more
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

Interval-Type Fuzzy Linear Fractional Programming Problem in Neutrosophic Environment: A Fuzzy Mathematical Programming Approach [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
This article proposes an interval-valued fuzzy linear fractional programming (LFP) problem, where the coefficients in the objective functions are assumed to be single-valued trapezoidal fuzzy neutrosophic numbers. In addition to this, the coefficients in
A Hamiden Abd El-Wahed Khalifa   +1 more
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

The Arithmetic Operator of Fuzzy Regular Prismoid Numbers and Its Application to Fuzzy Risk Analysis

open access: yesInternational Journal of Computational Intelligence Systems, 2021
We devote to study the arithmetic operator of fuzzy regular prismoid numbers as well as the degree of similarity between fuzzy regular prismoid numbers, and then the arithmetic operator and the degree of similarity are applied in risk analysis.
Shexiang Hai
doaj   +1 more source

Defuzzification method for ranking fuzzy numbers based on centroids and maximizing and minimizing set [PDF]

open access: yesDecision Science Letters, 2019
This paper proposes a new method on ranking fuzzy numbers through the process of defuzzification by using maximizing and minimizing set on the triangular fuzzy numbers formed from generalized trapezoidal fuzzy numbers.
Phani Bushan Rao Peddi
doaj   +1 more source

Non-Probabilistic Reliability Analysis of Slopes Based on Fuzzy Set Theory

open access: yesApplied Sciences, 2023
Aimed at the problem of fuzzy uncertainty of geotechnical parameters in slope stability analysis, a non-probabilistic reliability analysis method for slopes based on fuzzy set theory is proposed.
Suxun Shu   +4 more
doaj   +1 more source

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