A New Characterisation of the Minimal Solution Set to Max-min Fuzzy Relation Inequalities

References

• SanchezE.Resolution of composite fuzzy relation equationsInformation and Control3019763848
   Google Scholar
• CzogalaE.DrewniakJ.PedryczW.Fuzzy relation equations on a finite setFuzzy Sets and Systems7198289101
   Web of Science ®Google Scholar
• PappisC.P.AdamopoulosG.I.A computer algorithm for the solution of the inverse problem of fuzzy systemsFuzzy Sets and Systems391991279290
   Web of Science ®Google Scholar
• De BaetsB.Analytical solution methods for fuzzy relational equationsDuboisD.PradeH.Fundamentals of Fuzzy Sets The Handbooks of Fuzzy Sets Series2000Kluwer Academic PublishersDordrecht291340
   Google Scholar
• YehC.T.On the minimal solutions of max-min fuzzy relational equationsFuzzy Sets and Systems15920082339
   Web of Science ®Google Scholar
• BartlE.Minimal solutions of generalized fuzzy relational equations: Probabilistic algorithm based on greedy approachFuzzy Sets and Systems26020152542
   Web of Science ®Google Scholar
• LiP.FangS.C.A survey on fuzzy relational equations, Part I: Classification and solvabilityFuzzy Optimization and Decision Making82009179229
   Web of Science ®Google Scholar
• P. Saha, (2002) Abductive Reasoning with Inverse Fuzzy Discrete Relations, Ph.D. Dissertation, Jadavpur University, India.
   Google Scholar
• LeeH.C.GuuS.M.On the optimal three-tier multimedia streaming servicesFuzzy Optimization and Decision Making220033139
   Google Scholar
• NobuharaH.PedryczW.SessaS.HirotaK.A motion compression/reconstruction method based on max t-norm composite fuzzy relational equationsInformation Sciences176200625262552
   Web of Science ®Google Scholar
• FangS.C.LiG.Solving fuzzy relation equations with a linear objective functionFuzzy Sets and Systems1031999107113
   Web of Science ®Google Scholar
• YangX.P.ZhouX.G.CaoB.Y.Single-variable term semi-latticized fuzzy relation geometric programming with max-product operatorInformation Sciences3252015271287
   Web of Science ®Google Scholar
• YangX.P.Linear programming method for solving semi-latticized fuzzy relation geometric programming with max-min compositionInternational Journal of Uncertainty, Fuzziness and Knowledge-Based Systems232015781804
   Web of Science ®Google Scholar
• YangX.P.ZhouX.G.CaoB.Y.Latticized linear programming subject to max-product fuzzy relation inequalities with application in wireless communicationInformation Sciences358-35920164455
   Web of Science ®Google Scholar
• WuY.K.GuuS.M.LiuJ.Y.C.An accelerated approach for solving fuzzy relation equations with a linear objective functionIEEE Transactions on Fuzzy Systems1042002552558
   Web of Science ®Google Scholar
• WuY.K.GuuS.M.Minimizing a linear function under a fuzzy max-min relational equation constraintFuzzy Sets and Systems1502005147162
   Web of Science ®Google Scholar
• KhorramE.EzzatiR.ValizadehZ.Solving nonlinear multi-objective optimization problems with fuzzy relation inequality constraints regarding Archimedean triangular norm compositionsFuzzy Optimization and Decision Making112012299335
   Web of Science ®Google Scholar
• BartlE.BelohlavekR.Hardness of solving relational equationsIEEE Transactions on Fuzzy Systems236201524352438
   Web of Science ®Google Scholar
• BendesE.A.Mathematical Methods in Artificial intelligence1996IEEE Computer Society PressSilver Spring, MD
   Google Scholar
• ChenL.WangP.P.Fuzzy relation equations (I): the general and specialized solving algorithmsSoft Computing62002428435
   Google Scholar
• MarkovskiiA.V.On the relation between equations with max-product composition and the covering problemFuzzy Sets and Systems1532005261273
   Web of Science ®Google Scholar
• LinJ.L.WuY.K.GuuS.M.On fuzzy relational equations and the covering problemInformation Sciences181201129512963
   Web of Science ®Google Scholar
• J.X. Li, S.J. Yang, Fuzzy relation inequalities about the data transmission mechanism in bittorrent-like peer-to-peer file sharing systems, Proceedings of the 2012 9th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2012, pp. 452–456.
   Google Scholar
• YangS.J.An algorithm for minimizing a linear objective function subject to the fuzzy relation inequalities with addition-min compositionFuzzy Sets and Systems25520144151
   Web of Science ®Google Scholar
• YangX.P.ZhouX.G.CaoB.Y.Min-max programming problem subject to addition-min fuzzy relation inequalitiesIEEE Transactions on Fuzzy Systems242016111119
   Web of Science ®Google Scholar
• ZhouX.G.YangX.P.CaoB.Y.Posynomial geometric programming problem subject to max-min fuzzy relation equationsInformation Sciences32820161525
   Web of Science ®Google Scholar
• YangX.P.ZhengG.Z.ZhouX.G.CaoB.Y.Lexicography minimum solution of fuzzy relation inequalities: applied to optimal control in P2P file sharing systemInternational Journal of Machine Learning and Cybernetics85201715551563
   Web of Science ®Google Scholar
• WangP.Z.ZhangD.Z.SanchezE.LeeE.S.Latticized linear programming and fuzzy relation inequalitiesJournal of Mathematics Analysis and Applications159119917287
   Web of Science ®Google Scholar
• GuoF.F.PangL.P.MengD.XiaZ.Q.An algorithm for solving optimization problems with fuzzy relational inequality constraintsInformation Sciences25220132031
   Web of Science ®Google Scholar
• MatusiewiczZ.DrewniakJ.Increasing continuous operations in fuzzy max-* equations and inequalitiesFuzzy Sets and Systems2322013120133
   Web of Science ®Google Scholar
• YangX.P.LinH.T.ZhouX.G.CaoB.Y.Addition-min fuzzy relation inequalities with application in BitTorrent-like Peer-to-Peer file sharing systemFuzzy Sets and Systems201710.1016/j.fss.2017.04.002
   Web of Science ®Google Scholar