Solving fuzzy complex system of linear equations

Behera, Diptiranjan; Chakraverty, Snehashish

doi:10.1016/j.ins.2014.02.014

Cited by 32 publications

(16 citation statements)

References 29 publications

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“…Before that, some preliminaries which are important for this discussion, are recalled. Interested readers are encouraged to read the original paper for more details of fuzzy linear systems and [20] for the fuzzy complex systems.…”

Section: Fuzzy Linear Systems Revisitmentioning

confidence: 99%

“…Due to the uncertain parameters appearing in substantive problems, people often use fuzzy number in a real or complex form to describe fuzzy factors of the complex or real linear system, thus discovering new and easy-implemented schemes that would suitably deal with the fuzzy linear systems (FLS) and solve them, and enabling an expansion to a hotspot exploration [6][7][8][9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

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A Novel Weak Fuzzy Solution for Fuzzy Linear System

Salahshour

Ahmadian

Ismail

et al. 2016

Entropy

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This article proposes a novel weak fuzzy solution for the fuzzy linear system. As a matter of fact, we define the right-hand side column of the fuzzy linear system as a piecewise fuzzy function to overcome the related shortcoming, which exists in the previous findings. The strong point of this proposal is that the weak fuzzy solution is always a fuzzy number vector. Two complex and non-complex linear systems under uncertainty are tested to validate the effectiveness and correctness of the presented method.

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Section: Fuzzy Linear Systems Revisitmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Novel Weak Fuzzy Solution for Fuzzy Linear System

Salahshour

Ahmadian

Ismail

et al. 2016

Entropy

View full text Add to dashboard Cite

show abstract

“…Now proceeding like Theorem 1 of [1] and using expressions (2) to (5) Now proceeding like Theorem 1 of [1] and using expressions (2) to (5) …”

Section: Corrections In Section 4 Of [1]mentioning

confidence: 99%

“…

In this erratum we have corrected the Definition 2.4 of [1]. Accordingly related calculations have been changed more precisely to avoid mathematical errors.

…”

mentioning

confidence: 99%

Erratum to “Solving fuzzy complex system of linear equations” [Information sciences 277 (2014) 154–162]

Behera

Chakraverty

2016

Information Sciences

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“…The problems of reconciliation are very important and have been studied for more than 30 years (see, e.g., [50]). Reconciliation is a solution of an over-specified set of linear equations, as follows:…”

mentioning

confidence: 99%

Analysis of Sustainability Decision Trees Generated by Qualitative Models Based on Equationless Heuristics

2018

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Sustainability processes are complex and therefore ill-known, inconsistent, and subjective, and must be studied despite a shortage of information. It is prohibitively difficult to study them on quantitative levels using quantitative methods. The presented qualitative approach enables us to solve these issues. There are just three values used to describe the qualitative variables and their derivatives, plus/increasing, zero/constant, and negative/decreasing. An n-dimensional equation-less qualitative model is a set of pairwise relations. Such relations represent a shallow knowledge of the sustainability systems being studied. The solution of the qualitative model is a set of scenarios. The behaviour of this model is described by all of the possible transitions among these scenarios. A decision maker can easily compile a decision tree if he/she knows all of the possible transitions. The generated tree can be evaluated using traditional methods if all of the relevant probabilities are known. Otherwise, some heuristics are used to evaluate the best decision.

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Solving fuzzy complex system of linear equations

Cited by 32 publications

References 29 publications

A Novel Weak Fuzzy Solution for Fuzzy Linear System

A Novel Weak Fuzzy Solution for Fuzzy Linear System

Erratum to “Solving fuzzy complex system of linear equations” [Information sciences 277 (2014) 154–162]

Analysis of Sustainability Decision Trees Generated by Qualitative Models Based on Equationless Heuristics

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