Papers by mashaallah MASHINCHI
Journal of Applied Mathematics and Computing, 2006
In this paper first, we find a canonical symmetrical trapezoidal(triangular) for the solution of ... more In this paper first, we find a canonical symmetrical trapezoidal(triangular) for the solution of the fuzzy linear system Ax =b, where the elements in A andb are crisp and arbitrary fuzzy numbers, respectively. Then, a model for fuzzy linear programming problem with fuzzy variables (FLPFV), in which, the right hand side of constraints are arbitrary numbers, and coefficients of the objective function and constraint matrix are regarded as crisp numbers, is discussed. A numerical procedure for calculating a canonical symmetrical trapezoidal representation for the solution of fuzzy linear system and the optimal solution of FLPFV, (if there exist) is proposed. Several examples illustrate these ideas.
2018 6th Iranian Joint Congress on Fuzzy and Intelligent Systems (CFIS), 2018
In classical fuzzy set theory, a fuzzy relation is a function which associates with each pair of ... more In classical fuzzy set theory, a fuzzy relation is a function which associates with each pair of elements a real number in [0, 1]. In the present paper, this concept is extended on hesitant £-fuzzy sets which introduced by authors recently. Finally, some properties for this type of generalized concepts are discussed.
International Journal of Intelligent Systems, 2017
The hesitant fuzzy sets are a new efficient mathematical approach to study imprecise, uncertain, ... more The hesitant fuzzy sets are a new efficient mathematical approach to study imprecise, uncertain, or incomplete knowledge. This paper focuses to extend this approach on a lattice and shows that two large application concepts of the fuzzy set theory namely resolution identity and representation theorem are true under this extended definition.
Optimization, 2016
This paper presents a method for approximating the nondominated set of a multiobjective linear fr... more This paper presents a method for approximating the nondominated set of a multiobjective linear fractional programming (MOLFP) problem. The resulting approximation set has acceptable quality measures, and is an -approximation to the nondominated set, where is the tolerance vector and can be controlled by the decision-maker. The distance between every two resulting solutions is greater than or equal to a positive value and hence there is no redundant information. Also, for a given upper bound the method controls the cardinality of the resulting approximation set.
2017 5th Iranian Joint Congress on Fuzzy and Intelligent Systems (CFIS), 2017
A system of fuzzy relation inequalities with arithmetic mean-min composition is studied. Then, a ... more A system of fuzzy relation inequalities with arithmetic mean-min composition is studied. Then, a linear function is minimized with respect to this system. Some examples are prepared to illustrate this problem.
Journal of Japan Society for Fuzzy Theory and Systems, 1996
Lecture Notes in Computer Science, May 1, 2004
In the real world there are many linear programming problems where all decision parameters are fu... more In the real world there are many linear programming problems where all decision parameters are fuzzy numbers. Several approaches exist which use different ranking functions for solving these problems. Unfortunately when there exist alternative optimal solutions, usually with different fuzzy value of the objective function for these solutions, these methods can not specify a clear approach for choosing a solution. In this paper we propose a method to remove the above shortcoming in solving fuzzy number linear programming problems using the concept of expectation and variance as ranking functions
Such as other statistical problems, we may confront with uncertain and fuzzy concepts in quality ... more Such as other statistical problems, we may confront with uncertain and fuzzy concepts in quality control. One particular case in process capability analysis is a situation in which specification limits are two fuzzy sets. In such a uncertain and vague environment, the produced product is not qualified with a two-valued Boolean view, but to some degree depending on the decision-maker strictness and the quality level of the produced product. This matter can be cause to a rational decision-making on the quality of the production line. First, a comprehensive approach is presented in this paper for modeling the fuzzy quality concept. Then, motivations and advantages of applying this flexible approach instead of using classical quality are mentioned.
Advances in Intelligent Systems and Computing, 2013
ABSTRACT This paper suggests an iterative convergent method for finding a discrete approximation ... more ABSTRACT This paper suggests an iterative convergent method for finding a discrete approximation to the nondominated set of a multiobjective linear fractional programming problem. The method is organized so that the resulting approximation set has acceptable quality measures. The resulting set is an E-approximation to the nondominated set where E is a tolerance vector. Also, it does not generate redundant information.
Seventh IEEE/ACIS International Conference on Computer and Information Science (icis 2008), 2008
... Mashinchi2, M. Mashinchi3, 1,2 Faculty of Computer Sciences and Information Systems, Universi... more ... Mashinchi2, M. Mashinchi3, 1,2 Faculty of Computer Sciences and Information Systems, University Technology of Malaysia, Skudai, Johor, Malaysia, 3Faculty of ... Essentially this implies fuzzifying the utility function by considering a limiting goal (similar to goal programming). ...
Dependence Modeling, 2015
In the statistical literature, truncated distributions can be used for modeling real data. Due to... more In the statistical literature, truncated distributions can be used for modeling real data. Due to error of measurement in truncated continuous data, choosing a crisp trimmed point caucuses a fault inference, so using fuzzy sets to define a threshold pointmay leads us more efficient results with respect to crisp thresholds. Arellano-Valle et al. [2] defined a selection distribution for analysis of truncated data with crisp threshold. In this paper, we define fuzzy multivariate selection distribution that is an extension of the selection distributions using fuzzy threshold. A practical data set with a fuzzy threshold point is considered to investigate the relationship between high blood pressure and BMI.
Abstract. Similarity concept, finding the resemblance or classifying some groups of objects and s... more Abstract. Similarity concept, finding the resemblance or classifying some groups of objects and study their common properties has been the interest of many researchers. Basically, in the studies the similarity be-tween two objects or phenomena, 2-similarity in our words, has been discussed. In this paper, we consider the case when the resemblance or similarity among three objects or phenomena of a set, 3-similarity in our terminology, is desired. After defining 3-equivalence relation and 3-similarity, some common and different points between them are in-vestigated. We will see that in some special cases we can reach from 3-similarity to 2-similarity.
Kybernetika, 2021
In this paper, we introduce the product, coproduct, equalizer and coequalizer notions on the cate... more In this paper, we introduce the product, coproduct, equalizer and coequalizer notions on the category of fuzzy implications on a bounded lattice that results in the existence of the limit, pullback, colimit and pushout. Also isomorphism, monic and epic are introduced in this category. Then a subcategory of this category, called the skeleton, is studied. Where none of any two fuzzy implications are Φ-conjugate.
Quality Technology & Quantitative Management, 2009
2010 Second World Congress on Nature and Biologically Inspired Computing (NaBIC), 2010
Fuzzy linear analysis may lead to an incorrect interpretation of data in case of being incapable ... more Fuzzy linear analysis may lead to an incorrect interpretation of data in case of being incapable of dealing with outliers. Both basic probabilistic and least squares approaches are sensitive to outliers. In order to detect the outliers in data, we propose a two stage least squares approach which in contrast to the other proposed methods in the literature does not
Lecture Notes in Computer Science, 2009
ABSTRACT
Information Sciences, 2014
Metaheuristics are general search strategies that, at the exploitation stage, intensively exploit... more Metaheuristics are general search strategies that, at the exploitation stage, intensively exploit areas of the solution space with high quality solutions and, at the exploration stage, move to unexplored areas of the solution space when necessary. The Gravitational Search Algorithm (GSA) is a stochastic population-based metaheuristic that was originally designed for solving continuous optimization problems. It has a flexible and well-balanced mechanism for enhancing exploration and exploitation abilities. In this paper, a Discrete Gravitational Search Algorithm (DGSA) is proposed to solve combinatorial optimization problems. The proposed DGSA uses a Path Re-linking (PR) strategy instead of the classic way in which the agents of GSA usually move from their current position to the position of other agents. The proposed algorithm was tested on a set of 54 Euclidean benchmark instances of TSP with sizes ranging from 51 to 2392 nodes. The results were satisfactory and in the majority of the instances, the results were equal to the best known solution. The proposed algorithm ranked ninth when compared with 54 different algorithms with regard to quality of the solution.
Information Sciences, 2009
Control charts are among the simplest of on-line statistical process control techniques. When the... more Control charts are among the simplest of on-line statistical process control techniques. When the quality characteristic is a variable, the p-chart takes time to react to shifts in the production process because of its weak response to small variations in the process mean and ...
IEEE Transactions on Fuzzy Systems, 2011
We propose an unconstrained global continuous op- timization method based on tabu search and harm... more We propose an unconstrained global continuous op- timization method based on tabu search and harmony search to support the design of fuzzy linear regression (FLR) models. Tabu and harmony search strategies are used for diversification and in- tensification of FLR, respectively. The proposed approach offers the flexibility to use any kind of an objective function based on client's requirements or
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Papers by mashaallah MASHINCHI