Solving fully fuzzy matrix equations

Otadi, Mahmood; Mosleh, Maryam

doi:10.1016/j.apm.2012.02.005

Cited by 36 publications

(25 citation statements)

References 16 publications

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“…Muzzioli & Reynaerts (2007) have investigated the non-negative solution procedure of fuzzy system by nonlinear programming approach. Otadi & Mosleh (2012) have applied a linear programming approach to find the non-negative solution of a fully fuzzy matrix equation whose elements of the coefficient matrix are considered as arbitrary triangular fuzzy numbers. There are no restrictions about the elements of the coefficient matrix of the corresponding system.…”

Section: Introductionmentioning

confidence: 99%

New approach to solve fully fuzzy system of linear equations using single and double parametric form of fuzzy numbers

Behera

Chakraverty

2015

Sadhana

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This paper proposes two new methods to solve fully fuzzy system of linear equations. The fuzzy system has been converted to a crisp system of linear equations by using single and double parametric form of fuzzy numbers to obtain the non-negative solution. Double parametric form of fuzzy numbers is defined and applied for the first time in this paper for the present analysis. Using single parametric form, the n×n fully fuzzy system of linear equations have been converted to a 2n×2n crisp system of linear equations. On the other hand, double parametric form of fuzzy numbers converts the n × n fully fuzzy system of linear equations to a crisp system of same order. Triangular and trapezoidal convex normalized fuzzy sets are used for the present analysis. Known example problems are solved to illustrate the efficacy and reliability of the proposed methods.

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Section: Introductionmentioning

confidence: 99%

New approach to solve fully fuzzy system of linear equations using single and double parametric form of fuzzy numbers

Behera

Chakraverty

2015

Sadhana

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“…(1) Set the membership function shown in (1), where, x is the frequency of attribute word, σ is variance of x, a is the frequency threshold. By the membership function, we can get the attributes membership of all text, and the membership value is less than 1 [7].…”

Section: Text Clustering Algorithmmentioning

confidence: 99%

Fuzzy Set Based Web Opinion Text Clustering Algorithm

Wan¹,

Peng²

2015

Proceedings of the 4th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering 2015

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With the development of social media, people like to express their views on the Web. Because people express their views casually, which makes the opinion text contain a lot of uncertain and unstructured contents, and it is difficult to cluster the text by normal classification methods. An algorithm of opinion text clustering based on fuzzy set is proposed, which adopts the key words as classifying attributes and calculate the membership degree by fuzzy function, thus can deal with the uncertain and unstructured contents well. Also the algorithm proposed can improve the time and space efficiency, and increase the robustness compared with other classification algorithms.

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“…In addition, methods to obtain positive solution for FFLS and fully fuzzy matrix equations (FFME) have been proposed [5,20,21,39], where the coefficients are arbitrary. All of the examples in their methods are limited to n = 3 or 3 indicating difficulties in real applications.…”

Section: Introductionmentioning

confidence: 99%

An Algorithm for a Positive Solution of Arbitrary Fully Fuzzy Linear System

2015

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This paper proposes a new computational method to obtain a positive solution for arbitrary fully fuzzy linear system (FFLS). The new method transforms the coefficients in FFLS to a one-block matrix. As a result, none of the fuzzy operations are needed. This method can provide a solution regardless of the size of a system. Some necessary theorems are proved and new numerical examples are presented to illustrate the proposed method.

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Solving fully fuzzy matrix equations

Cited by 36 publications

References 16 publications

New approach to solve fully fuzzy system of linear equations using single and double parametric form of fuzzy numbers

New approach to solve fully fuzzy system of linear equations using single and double parametric form of fuzzy numbers

Fuzzy Set Based Web Opinion Text Clustering Algorithm

An Algorithm for a Positive Solution of Arbitrary Fully Fuzzy Linear System

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