Solution of a System of Linear Equations with Fuzzy Numbers

0306558 - ÚI 2009 RIV NL eng J - Journal Article
Horčík, Rostislav
Solution of a System of Linear Equations with Fuzzy Numbers.
[Řešení soustav lineárních rovnic s fuzzy čísly.]
Fuzzy Sets and Systems. Roč. 159, č. 14 (2008), s. 1788-1810. ISSN 0165-0114. E-ISSN 1872-6801
R&D Projects: GA AV ČR KJB100300502
Institutional research plan: CEZ:AV0Z10300504
Keywords : fuzzy number * fuzzy interval * interval analysis * fuzzy arithmetic * fuzzy class theory * united solution set
Subject RIV: BA - General Mathematics
Impact factor: 1.833, year: 2008

Cited: 19

--- NOVAK, V. Reasoning about mathematical fuzzy logic and its future. FUZZY SETS AND SYSTEMS. ISSN 0165-0114, APR 1 2012, vol. 192, SI, p. 25-44. [WOS]
--- CINTULA, P. - HAJEK, P. Triangular norm based predicate fuzzy logics. FUZZY SETS AND SYSTEMS. ISSN 0165-0114, FEB 1 2010, vol. 161, no. 3, p. 311-346. [WOS]
--- Behounek, L. - Cintula, P. - Hajek, P. Introduction to Mathematical Fuzzy Logic. Handbook of Mathematical Fuzzy Logic - Vol. 1. London : College Publications, 2011, P. 2-101. ISBN 978-1-84890-039-4.
--- ZHANG, L.M. - SKIBNIEWSKI, M.J. - WU, X.G. - CHEN, Y.Q. - DENG, Q.L. A probabilistic approach for safety risk analysis in metro construction. SAFETY SCIENCE. ISSN 0925-7535, MAR 2014, vol. 63, p. 8-17. [WOS]
--- KOSINSKI, W. - PROKOPOWICZ, P. - ROSA, A. Defuzzification Functionals of Ordered Fuzzy Numbers. IEEE TRANSACTIONS ON FUZZY SYSTEMS. ISSN 1063-6706, DEC 2013, vol. 21, no. 6, p. 1163-1169. [WOS]
--- CHAKRAVERTY, S. - BEHERA, D. Fuzzy system of linear equations with crisp coefficients. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS. ISSN 1064-1246, 2013, vol. 25, no. 1, p. 201-207. [WOS]
--- MAKO, Z. Real vector space of LR-fuzzy intervals with respect to the shape-preserving t-norm-based addition. FUZZY SETS AND SYSTEMS. ISSN 0165-0114, AUG 1 2012, vol. 200, p. 136-149. [WOS]
--- AMIRFAKHRIAN, M. Analyzing the solution of a system of fuzzy linear equations by a fuzzy distance. SOFT COMPUTING. ISSN 1432-7643, JUN 2012, vol. 16, no. 6, p. 1035-1041. [WOS]
--- HOLCAPEK, M. - STEPNICKA, M. Arithmetics of Extensional Fuzzy Numbers - Part I: Introduction. 2012 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE). ISSN 1098-7584, 2012. [WOS]
--- ZHANG, L.M. - WU, X.G. - QIN, Y.W. - SKIBNIEWSKI, M.J. - LIU, W.L. Towards a Fuzzy Bayesian Network Based Approach for Safety Risk Analysis of Tunnel-Induced Pipeline Damage. RISK ANALYSIS. ISSN 0272-4332, FEB 2016, vol. 36, no. 2, p. 278-301. [WOS]
--- SADIQBATCHA, S. - JAFARZADEH, S. An Analytical Approach for Solving Type-1 and Type-2 Fully Fuzzy Linear Systems of Equations. 2016 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE). ISSN 1544-5615, 2016, p. 453-460. [WOS]
--- KOVALERCHUK, B. - KREINOVICH, V. Comparison of formulations of applied tasks with intervals, fuzzy sets and probability approaches. 2016 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE). ISSN 1544-5615, 2016, p. 1478-1483. [WOS]
--- LODWICK, W.A. - DUBOIS, D. Interval linear systems as a necessary step in fuzzy linear systems. FUZZY SETS AND SYSTEMS. ISSN 0165-0114, DEC 15 2015, vol. 281, SI, p. 227-251. [WOS]
--- ZHANG, L.M. - WU, X.G. - CHEN, Q.Q. - SKIBNIEWSKI, M.J. - ZHONG, J.B. Developing a cloud model based risk assessment methodology for tunnel-induced damage to existing pipelines. STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT. ISSN 1436-3240, FEB 2015, vol. 29, no. 2, p. 513-526. [WOS]
--- HOLCAPEK, M. - STEPNICKA, M. MI-algebras: A new framework for arithmetics of (extensional) fuzzy numbers. FUZZY SETS AND SYSTEMS. ISSN 0165-0114, DEC 16 2014, vol. 257, SI, p. 102-131. [WOS]
--- ZHANG, L.M. - WU, X.G. - SKIBNIEWSKI, M.J. - ZHONG, J.B. - LU, Y.J. Bayesian-network-based safety risk analysis in construction projects. RELIABILITY ENGINEERING & SYSTEM SAFETY. ISSN 0951-8320, NOV 2014, vol. 131, p. 29-39. [WOS]
--- ZHOU, J.Y. - WEI, H. A GMRES Method for Solving Fuzzy Linear Equations. INTERNATIONAL JOURNAL OF FUZZY SYSTEMS. ISSN 1562-2479, JUN 2014, vol. 16, no. 2, p. 270-276. [WOS]
--- KARGAR, R. - ALLAHVIRANLOO, T. - ROSTAMI-MALKHALIFEH, M. - JAHANSHALOO, G.R. A Proposed Method for Solving Fuzzy System of Linear Equations. SCIENTIFIC WORLD JOURNAL. ISSN 1537-744X, 2014. [WOS]
--- WANG, Z.Z. - CHEN, C. Fuzzy comprehensive Bayesian network-based safety risk assessment for metro construction projects. TUNNELLING AND UNDERGROUND SPACE TECHNOLOGY. ISSN 0886-7798, NOV 2017, vol. 70, p. 330-342. [WOS]

Permanent Link: http://hdl.handle.net/11104/0159548