Maximum-Amplitude Solution of Addition-Min Fuzzy Relation Inequalities Considering the Stability in the P2P Network System

Maximum amplitude and its corresponding maximum-amplitude solution are defined in an addition-min fuzzy relation inequalities system. The maximum-amplitude solution could be viewed as a stable solution, since it is able to survive the biggest fluctuation or perturbation appearing in its components....

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Published inIEEE transactions on fuzzy systems Vol. 30; no. 1; pp. 1 - 13
Main Authors Xue, Huanbin, Yang, Xiao-Peng
Format Journal Article
LanguageEnglish
Published New York IEEE 01.01.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Addition-min composition
Algorithms
Amplitudes
fuzzy relation equation (FRE)
fuzzy relation inequality (FRI)
Indexes
Inequalities
Linear programming
maximum amplitude
maximum-amplitude solution
Numerical stability
Optimization
Peer to peer computing
Perturbation
Perturbation methods
Stability criteria
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Abstract Maximum amplitude and its corresponding maximum-amplitude solution are defined in an addition-min fuzzy relation inequalities system. The maximum-amplitude solution could be viewed as a stable solution, since it is able to survive the biggest fluctuation or perturbation appearing in its components. For solving the maximum amplitude and maximum-amplitude solution, we construct a relevant optimization problem and then convert it into several subproblems. Some auxiliary functions and index sets are introduced to deal with these subproblems. Algorithm I is developed to find their optimal solutions. Based on the optimal solutions of the subproblems, we further propose Algorithm II for obtaining the maximum amplitude and maximum-amplitude solution of an addition-min fuzzy relation inequalities system. Numerical examples illustrate the validness and efficiency of our proposed algorithms.
AbstractList Maximum amplitude and its corresponding maximum-amplitude solution are defined in an addition-min fuzzy relation inequalities system. The maximum-amplitude solution could be viewed as a stable solution, since it is able to survive the biggest fluctuation or perturbation appearing in its components. For solving the maximum amplitude and maximum-amplitude solution, we construct a relevant optimization problem and then convert it into several subproblems. Some auxiliary functions and index sets are introduced to deal with these subproblems. Algorithm I is developed to find their optimal solutions. Based on the optimal solutions of the subproblems, we further propose Algorithm II for obtaining the maximum amplitude and maximum-amplitude solution of an addition-min fuzzy relation inequalities system. Numerical examples illustrate the validness and efficiency of our proposed algorithms.
Author Xue, Huanbin
Yang, Xiao-Peng
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Cites_doi 10.1109/TFUZZ.2016.2593496
10.1016/j.fss.2017.04.002
10.1016/S0165-0114(98)00471-0
10.1109/TFUZZ.2009.2031561
10.1007/s10700-012-9129-6
10.1016/j.fss.2005.02.010
10.1016/j.cie.2014.03.024
10.1016/j.cam.2018.09.051
10.1016/S0019-9958(76)90446-0
10.1007/s10700-008-9029-y
10.1016/j.asoc.2009.12.014
10.1109/TFUZZ.2015.2428716
10.1109/TFUZZ.2016.2598860
10.1155/2019/4960638
10.1016/j.fss.2014.04.007
10.1016/j.ins.2016.04.041
10.1016/j.cie.2018.03.038
10.3233/JIFS-151820
10.1016/j.ins.2011.06.009
10.1007/s00500-018-3236-4
10.1016/j.fss.2019.04.029
10.1016/j.ins.2011.03.004
10.1016/j.asoc.2018.04.029
10.1016/j.fss.2017.08.001
10.1109/TFUZZ.2015.2394396
10.1016/j.ins.2007.02.037
10.1016/j.cie.2011.09.012
10.1016/j.fss.2013.03.009
10.1007/s00500-013-1152-1
10.1016/j.cie.2007.11.011
10.1016/j.ins.2016.04.014
10.1007/s13042-016-0527-x
10.1109/TFUZZ.2017.2771406
10.1007/s40815-018-0530-3
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References ref35
ref13
ref34
ref12
ref37
ref15
ref36
ref14
ref31
ref30
ref33
ref11
ref32
ref10
ref2
ref1
ref16
ref19
yang (ref18) 2019
ref24
li (ref9) 0
ref23
ref26
ref25
ref20
ref22
ref21
mazraeh (ref17) 2018; 15
ref28
ref27
ref29
ref8
ref7
ref4
ref3
ref6
ref5
References_xml – ident: ref35
  doi: 10.1109/TFUZZ.2016.2593496
– ident: ref10
  doi: 10.1016/j.fss.2017.04.002
– ident: ref31
  doi: 10.1016/S0165-0114(98)00471-0
– ident: ref24
  doi: 10.1109/TFUZZ.2009.2031561
– ident: ref33
  doi: 10.1007/s10700-012-9129-6
– ident: ref7
  doi: 10.1016/j.fss.2005.02.010
– ident: ref30
  doi: 10.1016/j.cie.2014.03.024
– ident: ref13
  doi: 10.1016/j.cam.2018.09.051
– ident: ref1
  doi: 10.1016/S0019-9958(76)90446-0
– ident: ref4
  doi: 10.1007/s10700-008-9029-y
– ident: ref34
  doi: 10.1016/j.asoc.2009.12.014
– ident: ref25
  doi: 10.1109/TFUZZ.2015.2428716
– ident: ref6
  doi: 10.1109/TFUZZ.2016.2598860
– ident: ref20
  doi: 10.1155/2019/4960638
– ident: ref11
  doi: 10.1016/j.fss.2014.04.007
– ident: ref15
  doi: 10.1016/j.ins.2016.04.041
– ident: ref36
  doi: 10.1016/j.cie.2018.03.038
– ident: ref16
  doi: 10.3233/JIFS-151820
– year: 2019
  ident: ref18
  article-title: Resolution of bipolar fuzzy relation equations with max-?ukasiewicz composition
  publication-title: Fuzzy Sets Syst
– volume: 15
  start-page: 109
  year: 2018
  ident: ref17
  article-title: Resolution of nonlinear optimization problems subject to bipolar max-min fuzzy relation equation constraints using genetic algorithm
  publication-title: Iranian J Fuzzy Syst
– ident: ref12
  doi: 10.1016/j.ins.2011.06.009
– ident: ref28
  doi: 10.1007/s00500-018-3236-4
– start-page: 452
  year: 0
  ident: ref9
  article-title: Fuzzy relation equalities about the data transmission mechanism in BitTorrent-like peer-to-peer file sharing systems
  publication-title: Proc Int Conf Fuzzy Syst Knowl Discovery
– ident: ref19
  doi: 10.1016/j.fss.2019.04.029
– ident: ref8
  doi: 10.1016/j.ins.2011.03.004
– ident: ref37
  doi: 10.1016/j.asoc.2018.04.029
– ident: ref26
  doi: 10.1016/j.fss.2017.08.001
– ident: ref5
  doi: 10.1109/TFUZZ.2015.2394396
– ident: ref21
  doi: 10.1016/j.ins.2007.02.037
– ident: ref29
  doi: 10.1016/j.cie.2011.09.012
– ident: ref2
  doi: 10.1016/j.fss.2013.03.009
– ident: ref14
  doi: 10.1007/s00500-013-1152-1
– ident: ref32
  doi: 10.1016/j.cie.2007.11.011
– ident: ref3
  doi: 10.1016/j.ins.2016.04.014
– ident: ref27
  doi: 10.1007/s13042-016-0527-x
– ident: ref22
  doi: 10.1109/TFUZZ.2017.2771406
– ident: ref23
  doi: 10.1007/s40815-018-0530-3
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Snippet Maximum amplitude and its corresponding maximum-amplitude solution are defined in an addition-min fuzzy relation inequalities system. The maximum-amplitude...
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SubjectTerms Addition-min composition
Algorithms
Amplitudes
fuzzy relation equation (FRE)
fuzzy relation inequality (FRI)
Indexes
Inequalities
Linear programming
maximum amplitude
maximum-amplitude solution
Numerical stability
Optimization
Peer to peer computing
Perturbation
Perturbation methods
Stability criteria
Title Maximum-Amplitude Solution of Addition-Min Fuzzy Relation Inequalities Considering the Stability in the P2P Network System
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https://www.proquest.com/docview/2615513936
Volume 30
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