Kaczmarz Method for Fuzzy Linear Systems

Russian Mathematics ◽

10.3103/s1066369x21120033 ◽

2021 ◽

Vol 65 (12) ◽

pp. 20-26

Author(s):

L. Bian ◽

S. Zhang ◽

S. Wang ◽

K. Wang

Keyword(s):

Linear Systems ◽

Kaczmarz Method ◽

Fuzzy Linear Systems

Download Full-text

A Relaxed Kaczmarz Method for Fuzzy Linear Systems

10.21203/rs.3.rs-283515/v1 ◽

2021 ◽

Author(s):

Ke Wang ◽

Shijun Zhang ◽

Shiheng Wang

Keyword(s):

Linear Systems ◽

Convergence Theorem ◽

Iterative Scheme ◽

Coefficient Matrix ◽

Systems Of Equations ◽

Numerical Examples ◽

Kaczmarz Method ◽

Fuzzy Linear Systems ◽

Linear Systems Of Equations

Abstract A relaxed Kaczmarz method is presented for solving a class of fuzzy linear systems of equations with crisp coefficient matrix and fuzzy right-hand side. The iterative scheme is established and the convergence theorem is provided. Numerical examples show that the method is effective.

Download Full-text

Kaczmarz method for fuzzy linear systems

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika ◽

10.26907/0021-3446-2021-12-23-30 ◽

2021 ◽

pp. 23-30

Author(s):

Lina Bian ◽

◽

Shijun Zhang ◽

Shiheng Wang ◽

Ke Wang ◽

...

Keyword(s):

Linear Systems ◽

Kaczmarz Method ◽

Fuzzy Linear Systems

Download Full-text

Methods for solving LR-bipolar fuzzy linear systems

Soft Computing ◽

10.1007/s00500-020-05460-z ◽

2021 ◽

Author(s):

Muhammad Akram ◽

Tofigh Allahviranloo ◽

Witold Pedrycz ◽

Muhammad Ali

Keyword(s):

Linear Systems ◽

Fuzzy Linear Systems

Download Full-text

On the fuzzy solution of LR fuzzy linear systems

Applied Mathematical Modelling ◽

10.1016/j.apm.2012.03.037 ◽

2013 ◽

Vol 37 (3) ◽

pp. 1170-1176 ◽

Author(s):

T. Allahviranloo ◽

F. Hosseinzadeh Lotfi ◽

M. Khorasani Kiasari ◽

M. Khezerloo

Keyword(s):

Linear Systems ◽

Fuzzy Solution ◽

Fuzzy Linear Systems

Download Full-text

Solving fuzzy linear systems using a block representation of generalized inverses: The group inverse

Fuzzy Sets and Systems ◽

10.1016/j.fss.2018.04.015 ◽

2018 ◽

Vol 353 ◽

pp. 66-85 ◽

Author(s):

Biljana Mihailović ◽

Vera Miler Jerković ◽

Branko Malešević

Keyword(s):

Linear Systems ◽

Generalized Inverses ◽

Group Inverse ◽

Fuzzy Linear Systems

Download Full-text

Fuzzy linear systems

Fuzzy Sets and Systems ◽

10.1016/0165-0114(92)90286-d ◽

1992 ◽

Vol 49 (3) ◽

pp. 339-355 ◽

Author(s):

Ketty Peeva

Keyword(s):

Linear Systems ◽

Fuzzy Linear Systems

Download Full-text

Solving fuzzy linear systems with EP matrix using a block representation of generalized inverses

2016 13th Symposium on Neural Networks and Applications (NEUREL) ◽

10.1109/neurel.2016.7800112 ◽

2016 ◽

Author(s):

Vera Miler-Jerkovic ◽

Milica M. Jankovic ◽

Branko Malesevic ◽

Biljana Mihailovic

Keyword(s):

Linear Systems ◽

Generalized Inverses ◽

Ep Matrix ◽

Fuzzy Linear Systems

Download Full-text

Computational Methods for Solving Intuitionistic Fuzzy Linear Systems

Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics - Studies in Fuzziness and Soft Computing ◽

10.1007/978-3-030-53929-0_17 ◽

2020 ◽

pp. 217-229

Author(s):

Hafida Atti ◽

Bouchra Ben Amma ◽

Said Melliani ◽

Mohamed Oukessou ◽

Lalla Saadia Chadli

Keyword(s):

Linear Systems ◽

Computational Methods ◽

Intuitionistic Fuzzy ◽

Fuzzy Linear Systems

Download Full-text

The Analysis of the Fuzzy Solution to Fully Fuzzy Linear Systems in Two Perturbation Situations

Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery - Advances in Intelligent Systems and Computing ◽

10.1007/978-3-030-32456-8_85 ◽

2019 ◽

pp. 791-799

Author(s):

Kun Liu ◽

Wei-peng Li ◽

Yong-ling Li ◽

Hong-ying Duan

Keyword(s):

Linear Systems ◽

Fuzzy Solution ◽

Fuzzy Linear Systems

Download Full-text

Solving fuzzy linear systems using a block representation of generalized inverses: The Moore–Penrose inverse

Fuzzy Sets and Systems ◽

10.1016/j.fss.2017.11.007 ◽

2018 ◽

Vol 353 ◽

pp. 44-65 ◽

Author(s):

Biljana Mihailović ◽

Vera Miler Jerković ◽

Branko Malešević

Keyword(s):

Linear Systems ◽

Generalized Inverses ◽

Fuzzy Linear Systems

Download Full-text