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General Solutions of Fully Fuzzy Linear Systems

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Date

2013

Journal Title

Journal ISSN

Volume Title

Publisher

Hindawi Ltd

Open Access Color

GOLD

Green Open Access

No

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Publicly Funded

No
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Average
Influence
Top 10%
Popularity
Top 10%

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Journal Issue

Abstract

We propose a method to approximate the solutions of fully fuzzy linear system (FFLS), the so-called general solutions. So, we firstly solve the 1-cut position of a system, then some unknown spreads are allocated to each row of an FFLS. Using this methodology, we obtain some general solutions which are placed in the well-known solution sets like Tolerable solution set (TSS) and Controllable solution set (CSS). Finally, we solved two examples in order to demonstrate the ability of the proposed method.

Description

Allahviranloo, Tofigh/0000-0002-6673-3560; Salahshour, Soheil/0000-0003-1390-3551

Keywords

Statistics and Probability, Intuitionistic Fuzzy Sets, Artificial intelligence, Economics, Social Sciences, Fuzzy Differential Equations and Uncertainty Modeling, Set (abstract data type), Multi-Criteria Decision Making, Management Science and Operations Research, Mathematical analysis, Decision Sciences, Artificial Intelligence, Fuzzy Rule-Based Systems, Linear system, QA1-939, FOS: Mathematics, Type-2 Fuzzy Logic Systems and Applications, Neuro-Fuzzy Methods, Fuzzy Logic Systems, Order (exchange), Position (finance), Mathematical optimization, Applied mathematics, Computer science, Programming language, Fuzzy logic, Solution set, Fuzzy Sets, Physical Sciences, Computer Science, Mathematics, Finance, Fuzzy control/observation systems, Linear systems in control theory

Fields of Science

0209 industrial biotechnology, 02 engineering and technology, 0202 electrical engineering, electronic engineering, information engineering

Citation

Allahviranloo, T...et al. (2018). "General Solutions of Fully Fuzzy Linear Systems", Abstract and Applied Analysis.

WoS Q

Scopus Q

Q3
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OpenCitations Citation Count
9

Source

Abstract and Applied Analysis

Volume

2013

Issue

Start Page

1

End Page

9
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Citations

CrossRef : 2

Scopus : 17

Captures

Mendeley Readers : 14

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0.9947

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