Oriented Fuzzy Numbers vs. Fuzzy Numbers [PDF]
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
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An Approximation of Fuzzy Numbers Based on Polynomial Form Fuzzy Numbers
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
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Fully fuzzy transportation problems with pentagonal and hexagonal fuzzy numbers [PDF]
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
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A new approach for ranking of intuitionistic fuzzy numbers [PDF]
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
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Interval-Type Fuzzy Linear Fractional Programming Problem in Neutrosophic Environment: A Fuzzy Mathematical Programming Approach [PDF]
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
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Nearest fuzzy number of type L-R to an arbitrary fuzzy number with applications to fuzzy linear system [PDF]
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
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Fuzzy Interpolation with Extensional Fuzzy Numbers [PDF]
The article develops further directions stemming from the arithmetic of extensional fuzzy numbers. It presents the existing knowledge of the relationship between the arithmetic and the proposed orderings of extensional fuzzy numbers—so-called S-orderings—and investigates distinct properties of such orderings.
Michal Holcapek +2 more
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The Arithmetic Operator of Fuzzy Regular Prismoid Numbers and Its Application to Fuzzy Risk Analysis
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
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Fuzzy Distance of Trapezoidal Fuzzy Numbers [PDF]
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
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Defuzzification method for ranking fuzzy numbers based on centroids and maximizing and minimizing set [PDF]
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
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