Fuzzy Relational Equations/Inequalities

Fuzzy relational equations (FRE) were firstly proposed by Sanchez [1]. Fuzzy relational equations/inequalities (FRE/FRI) have played an important role in fuzzy set theory and fuzzy logic systems, and many researchers have discussed them based on different fuzzy relational compositions [2, 3, 4, 5, 6, 7, 8, 9].

[1]  Shyi-Ming Chen,et al.  Handling multicriteria fuzzy decision-making problems based on vague set theory , 1994 .

[2]  D. Grant Fisher,et al.  Solution algorithms for fuzzy relational equations with max-product composition , 1998, Fuzzy Sets Syst..

[3]  Yuzhen Wang,et al.  A Matrix Approach to Latticized Linear Programming With Fuzzy-Relation Inequality Constraints , 2013, IEEE Transactions on Fuzzy Systems.

[4]  Li Rong.  Analysis of Possibilistic Linear Programming Based on Comparison of Fuzzy Numbers --Discussed with Author , 2002 .

[5]  Shu-Cherng Fang,et al.  Solving fuzzy relation equations with a linear objective function , 1999, Fuzzy Sets Syst..

[6]  Ali Abbasi Molai.  The quadratic programming problem with fuzzy relation inequality constraints , 2012, Comput. Ind. Eng..

[7]  M. Gupta,et al.  Design of fuzzy logic controllers based on generalized T -operators , 1991 .

[8]  W. Pedrycz,et al.  Fuzzy Relation Equations and Their Applications to Knowledge Engineering , 1989, Theory and Decision Library.

[9]  W. Pedrycz,et al.  Fuzzy relation equation under a class of triangular norms: A survey and new results. , 1984 .

[10]  Mashaallah Mashinchi,et al.  Linear programming with fuzzy variables , 2000, Fuzzy Sets Syst..

[11]  Amin Ghodousian,et al.  Solving linear optimization problems with max-star composition equation constraints , 2006, Appl. Math. Comput..

[12]  Zun-Quan Xia,et al.  An Algorithm for Solving Optimization Problems with One Linear Objective Function and Finitely Many Constraints of Fuzzy Relation Inequalities , 2006, Fuzzy Optim. Decis. Mak..

[13]  Jiranut Loetamonphong,et al.  An efficient solution procedure for fuzzy relation equations with max-product composition , 1999, IEEE Trans. Fuzzy Syst..

[14]  Dan Meng,et al.  An algorithm for solving optimization problems with fuzzy relational inequality constraints , 2013, Inf. Sci..

[15]  Shu-Cherng Fang,et al.  Solving interval-valued fuzzy relation equations , 1998, IEEE Trans. Fuzzy Syst..

[16]  Cheng Lichun,et al.  The fuzzy relation equation with union or intersection preserving operator , 1988 .