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Showing 6 results for Fuzzy Number
Optimum Fuzzy Non-parametric Predictive Inference for Single Acceptance Sampling
, , , ,
Volume 13, Issue 2 (8-2016)
Abstract

Acceptance sampling is one of the main parts of the statistical quality control. It is primarily used for the inspection of incoming or outgoing lots. Acceptance sampling procedures can be used in an acceptance control program to reach better quality with lower expenses, improvement of the control and the increase of efficiency. The aims of this paper, studying acceptance sampling based on non-parametric predictive inference in a fuzzy environment. In some cases, it may not be possible to define acceptance sampling parameters as crisp values. Especially in production environments, it may not be easy to define the parameters number of conforming items and the size of the samples crisp values. In these cases, these parameters can be expressed by linguistic variables. The fuzzy set theory can be used successfully to cope the vagueness in these linguistic expressions for acceptance sampling based on non-parametric predictive inference. In other words, the aim of this paper is present a new method titled fuzzy non-parametric predictive inference for single acceptance sampling plan


A Non-Radial DEA Model for Evaluating of Performance Decision Making Units Using Fuzzy Data
A. Barzegarinezhad, F. Hosseinzadeh Lotfi, M. Rostamy-Malkhalifeh,
Volume 13, Issue 3 (11-2016)
Abstract

A Grey Transportation Problem in Fuzzy Environment
S. H. Nasseri, B. Khabiri,
Volume 16, Issue 3 (10-2019)
Abstract
In classical transport models, it is always assumed that parameters such as the distance from each supply node to each demand node or the cost of transferring goods from one node to another, as well as quantities such as supply and demand are definite and definite amounts. But in real matters, considering these assumptions is not logical. On the other hand, there may be a real problem in mathematical modeling with a variety of ambiguities in data simultaneously. In this paper, we consider a transport problem in which two types of fuzzy and grey data appear simultaneously. In the model under study, it is assumed that the coefficients of the grey objective function and the fuzzy supply and demand quantities are assumed. In this paper, we prove that by whitening grey numbers and defuzzification of the fuzzy numbers, the original problem can be turned into a crisp transport problem. Finally, with a numerical example, we describe the proposed method.
Market Equilibrium Point Analysis by a Fuzzy Approach
F. Babakordi,
Volume 19, Issue 3 (9-2022)
Abstract
In this paper, the dual fuzzy equation modeling is considered to determine the fuzzy equilibrium point of the market. By defining three sets of solutions for the dual fuzzy equations, the minimum symmetric fuzzy price, the maximum symmetric fuzzy price and the asymmetric fuzzy price are obtained, and accordingly, the fuzzy equilibrium point of the market and fuzzy supply and demand functions are calculated, and by proposing a theorem, the conditions under which the dual fuzzy equations considered to determine the fuzzy market price always have fuzzy solutions are presented. By discussing the drawbacks of the previous method of calculating the fuzzy market price, it is demonstrated that the method proposed in this paper has resolved the disadvantages. Finally, numerical examples show the efficiency and superiority of the proposed method.
 
New Method Based on the TOPSIS Method to Solve Criteria Decision-Making Problems with Intuitionistic Fuzzy Information
M. Arshi, A. Hadi-Vencheh, M. Nazari, A. Jamshidi,
Volume 19, Issue 4 (12-2022)
Abstract
Multicriteria decision making (MCDM) in intuitionistic Fuzzy environments is a very important research topic. When available information is precise, many methods exist to solve this problem. But the uncertainty and fuzziness inherent in the structure of information make rigorous mathematical models inappropriate for solving this type of problems. Intuitionistic fuzzy set (IFS) is very useful in providing a flexible model to elaborate uncertainty and vagueness involved in decision making. This paper investigates multiple criteria decision-making problems with intuitionistic fuzzy information. A modified TOPSIS method is proposed. First, the proposed method calculates the relative positive ideal solution and the relative negative ideal solution for each alternative. Then, the weighted Hamming distances between every alternative and positive ideal solution and negative ideal solution are calculated. Then, according to the weighted Hamming distances, the relative closeness coefficient to the positive ideal solution is calculated to rank all alternatives. Finally, two illustrative examples are given.
 
A Standardization-Based Approach for Solving Fully Fuzzy Fractional Linear Programming Problems and its Application in the Production of Wooden Products
N. Taghi-Nezhad, E. Mahdizadeh, M. Ghaznavi,
Volume 21, Issue 2 (6-2024)
Abstract
Currently, there are many methods to solve the linear fractional programming problem under non-negative fuzzy variables. Due to the flaws and limitations of these methods, they cannot be used to solve the fully fuzzy fractional linear programming (FFLFP) problem in which all variables and parameters are fuzzy. This paper intends to propose an efficient method for the FFLFP problem with trapezoidal fuzzy numbers, which converts unequal constraints into equal constraints by adding auxiliary variables and solves the problem without using ranking. Finally, the proposed method will be compared with other methods by implementing it practically in some examples and the degree of desirability of this method will be measured in terms of the simplicity of operation and the accuracy of the results. Also, a real example of a wood producing company will also be examined and will be resolved.
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