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
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
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

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
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Mendeley Readers : 14
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