scholarly journals Intuitionistic decagonal fuzzy number and its arithmetic operations

2017 ◽  
Vol 7 (1) ◽  
pp. 51-58
Author(s):  
RAJKUMAR A ◽  
JOSE PARVIN PRAVEENA N ◽  
DHANUSH C
Keyword(s):  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Accuracy Function ◽  
Arithmetic Operations ◽  
Numerical Examples ◽  
Addition And Subtraction

This paper introduced a new conception Intuitionistic Decagonal fuzzy Number and defines fundamental arithmetic operations like addition, subtraction. Numerical examples for addition and subtraction between two Intuitionistic Decagonal fuzzy Numbers are given.Score function and accuracy function are also defined.

A MODIFICATION OF THE INDEX OF LIOU AND WANG FOR RANKING FUZZY NUMBER

2007 ◽  
Vol 15 (04) ◽  
pp. 411-424 ◽  
Author(s):  
M. SOCORRO GARCIA ◽  
M. TERESA LAMATA
Keyword(s):  
Satisfactory Result ◽  
Coefficient Of Variation ◽  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Mean Value ◽  
Weighted Mean ◽  
Numerical Examples ◽  
Centroid Point ◽  
Ranking Fuzzy Number ◽  
Index Of Optimism

Different methods have been proposed for ranking fuzzy numbers. These include methods based on distances, centroid point, coefficient of variation, and weighted mean value. However, there is still no method that can always give a satisfactory result to every situation; some are counterintuitive and not discriminating. This paper presents an approach for ranking fuzzy numbers with integral value that is an extension of the index of Liou and Wang. This method, that is independent of the type of membership function used, can rank more than two fuzzy numbers simultaneously. This ranking method use an index of optimism to reflect the decision maker's optimistic attitude, but rather it also contains an index of modality that represents the neutrality of the decision maker. The approach is illustrated with numerical examples.

scholarly journals Evaluating the Efficiency of School Preceptors by Fuzzy Risk Analysis

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Rasoul Saneifard ◽  
Rahim Saneifard
Keyword(s):  
Risk Analysis ◽  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
New Method ◽  
Arithmetic Operations ◽  
Fuzzy Risk Analysis ◽  
Fuzzy Weights

This paper presents a new method for evaluating the efficiency of school preceptors based on fuzzy number arithmetic operations. It uses fuzzy numbers to represent fuzzy grades. The fuzzy weights of criteria are automatically generated from the opinions of evaluators. The simplified fuzzy number arithmetic operations are used for calculating the average of fuzzy numbers. It can evaluate the efficiency of school preceptors in a more flexible and more intelligent manner.

Ranking Fuzzy Numbers Based on the Mean and Fuzzy Degree of Fuzzy Number

2012 ◽  
Vol 220-223 ◽  
pp. 2102-2108
Author(s):  
Gui Xiang Wang ◽  
Guang Tao Zhou
Keyword(s):  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Numerical Examples ◽  
Novel Approach ◽  
The Mean ◽  
Fuzzy Degree ◽  
Comparative Results ◽  
Ranking Index

In this paper, a novel approach to ranking fuzzy numbers based on the mean and the fuzzy degree of fuzzy number is proposed. In the approach, a new ranking index that is comprehensive consideration of the mean and the fuzzy degree of fuzzy number is constructed, and then the properties of the ranking index are given. Moreover, to compare the proposed approach with the existing approaches, numerical examples are given. The comparative results illustrate that the approach proposed in this paper is better and has simpler calculations.

scholarly journals A study on multiplication operation on triangular fuzzy numbers

2021 ◽  
Vol 5 (2) ◽  
pp. 55-62
Author(s):  
Mohamed Ali A ◽  
Maanvizhi P
Keyword(s):  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Triangular Fuzzy Number ◽  
Fuzzy Arithmetic ◽  
Triangular Fuzzy Numbers ◽  
Arithmetic Operations ◽  
Multiplication Operation ◽  
Cut Method ◽  
Standard Approximation ◽  
Basic Content

The arithmetic operations on fuzzy number are basic content in fuzzy mathematics. But still the operations of fuzzy arithmetic operations are not established. There are some arithmetic operations for computing fuzzy number. Certain are analytical methods and further are approximation methods. In this paper we, compare the multiplication operation on triangular fuzzy number between α-cut method and standard approximation method and give some examples.

Intuitionistic Fuzzy Measures of Correlation Coefficient of Intuitionistic Fuzzy Numbers Under Weakest Triangular Norm

2019 ◽  
Vol 8 (1) ◽  
pp. 48-64 ◽  
Author(s):  
Mohit Kumar
Keyword(s):  
Correlation Coefficient ◽  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Fuzzy Arithmetic ◽  
Triangular Norm ◽  
Arithmetic Operations ◽  
Intuitionistic Fuzzy Numbers ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Environment ◽  
Technology Level

The correlation coefficient of variables has wide applications in statistics and is often calculated in crisp or fuzzy environment. This article extends the application of correlation coefficient to intuitionistic fuzzy environment. In this article, a new method is proposed to measure the correlation coefficient of intuitionistic fuzzy numbers using weakest triangular norm based intuitionistic fuzzy arithmetic operations. Different from previous studies, the correlation coefficient computed in this article is an intuitionistic fuzzy number rather than a crisp or fuzzy number. It is well known that the weakest t-norm arithmetic operations effectively reduce fuzzy spreads (fuzzy intervals) and provide more exact results. Therefore, a simplified, effective and exact method based on weakest t-norm arithmetic operations is presented to compute the correlation coefficient of intuitionistic fuzzy numbers. To illustrate the proposed method, the correlation coefficient between the technology level and management achievement from a sample of 15 machinery firms in Taiwan is calculated using proposed approach.

scholarly journals Quadrilateral Fuzzy Number

2018 ◽  
Vol 7 (4.10) ◽  
pp. 1018
Author(s):  
Pathinathan T ◽  
Santhoshkumar S
Keyword(s):  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Numerical Examples ◽  
Practical Applications ◽  
Algebraic Properties

Fuzzy numbers are used to represent uncertainty. Various types of fuzzy numbers are used in practical applications. In this paper we define Perfect Pentagonal Fuzzy Number (PPFN), Quadrilateral Fuzzy Number (QNF) and Left skewed Quadrilateral Fuzzy Number and Right skewed Quadrilateral Fuzzy Number. We study their algebraic properties with numerical examples.  

scholarly journals A computational method for fuzzy arithmetic operations

1970 ◽  
Vol 4 (1) ◽  
pp. 18-22 ◽  
Author(s):  
Thowhida Akther ◽  
Sanwar Uddin Ahmad
Keyword(s):  
Membership Function ◽  
Interval Arithmetic ◽  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Computational Method ◽  
Fuzzy Arithmetic ◽  
Membership Functions ◽  
Computer Implementation ◽  
Arithmetic Operations ◽  
International University

In this paper, a computer implementation to evaluate the arithmetic operations on two fuzzy numbers with linear membership functions has been developed. The fuzzy arithmetic approached by the interval arithmetic is used here. The algorithm of the developed method with a numerical example is also provided. Using this method four basic arithmetic operations between any two TFNs can be evaluated without complexity. Keywords: Fuzzy arithmetic, Fuzzy number, Membership Function, Interval arithmetic, α - cut. DOI: 10.3329/diujst.v4i1.4350 Daffodil International University Journal of Science and Technology Vol.4(1) 2009 pp.18-22

scholarly journals A Study On Reliability Using Pendant, Hexant, Octant Fuzzy Numbers

2021 ◽  
Author(s):  
P. Jini Varghese ◽  
G. Michael Rosario
Keyword(s):  
Fuzzy Number ◽  
Comparative Research ◽  
Fuzzy Numbers ◽  
Integration Method ◽  
Centroid Method ◽  
Distance Method ◽  
Numerical Examples ◽  
Signed Distance ◽  
Mathematical Operations

The weaving machine’s reliability is assessed using newly introduced fuzzy numbers. The fuzzy numbers introduced in this study give a better method to improve the reliability than other techniques. Pendant Fuzzy Number, Hexant Fuzzy Number, and Octant Fuzzy Number are all introduced in this present study. Pendant Fuzzy Number, Hexant Fuzzy Number, and Octant Fuzzy Number,α-cuts are defined, as well as their mathematical operations. The numerical examples are utilised to conduct a comparative research of reliability using various Fuzzy Numbers, and their defuzzification is accomplished using various ways such as Signed Distance method, Graded Mean Integration Method and Centroid Method. The purpose of this study is to discover the most reliable value for a weaving machine.

scholarly journals Optimal Solution of Fuzzy Transshipment Problem Using Generalized Hexagonal Fuzzy Numbers

2018 ◽  
Vol 7 (4.10) ◽  
pp. 558
Author(s):  
Kirtiwant P. Ghadle ◽  
Sanjivani M. Ingle ◽  
Ahmed A. Hamoud
Keyword(s):  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Optimal Solution ◽  
Numerical Examples

In the present paper, the generalized hexagonal fuzzy number has been newly introduced to deal fuzzy transshipment problem. We solved balance and unbalance fuzzy transshipment problem by various methods. Various methods are compared to find the best solution. The objective of our paper is to find the best method for solving transshipment problem. This procedure is illustrated with numerical examples.  

Sign in / Sign up

Export Citation Format

Share Document