[1]

Rosenfeld A., Fuzzy groups, J. Math. Anal. Appl., 1971, 35, 512-517

[2]

Kuroki N., On fuzzy ideals and fuzzy bi-ideals in semigroups, Fuzzy Sets Syst., 1981, 5, 203-215

[3]

Liu W.J., Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets Syst., 1982, 8, 13-139

[4]

Ajmal N., The lattice of fuzzy normal subgroups is modular, Inf. Sci., 1995, 83, 199-209

[5]

Ajmal N., Fuzzy groups with supproperty, Inf. Sci., 1996, 93, 247-264

[6]

Ajmal N., Thomas K.V., The lattice of fuzzy subgroups and fuzzy normal subgroups, Inf. Sci., 1994, 76, 1-11

[7]

Ajmal N., Thomas K.V., A complete study of the lattices of fuzzy congruences and fuzzy normal subgroups, Inf. Sci., 1995, 82, 198-218

[8]

Head T., A metatheorem for deriving fuzzy theorems from crisp versions, Fuzzy Sets Syst., 1995, 73 349-358

[9]

Head T., Erratum to “A metatheorem for deriving fuzzy theorems from crisp versions”, Fuzzy Sets Syst., 1996, 79, 227-228

[10]

Jain A., TomHead’s join structure of fuzzy subgroups, Fuzzy Sets Syst., 2002, 125, 191-200

[11]

Ajmal N., Thomas K.V., The lattice of fuzzy ideals of a ring R, Fuzzy Sets Syst., 1995, 74, 371-379

[12]

Majumdar S., Sultana Q.S., The lattice of fuzzy ideals of a ring, Fuzzy Sets Syst., 1996, 81, 271-273

[13]

Zhang Q., Meng G., On the lattice of fuzzy ideals of a ring, Fuzzy Sets Syst., 2000, 112, 349-353

[14]

Zhang Q., The lattice of fuzzy (left, right) ideals of a ring is modular, Fuzzy Sets Syst., 2002, 25, 209-214

[15]

Jahan I., Modularity of Ajmal for the lattices of fuzzy ideals of a ring, Iran. J. Fuzzy Syst., 2008, 5, 71-78

[16]

Dixit V.N., Kumar R., Ajmal N., Fuzzy ideals and fuzzy prime ideals of a ring, Fuzzy Sets Syst., 1991, 44, 127-138

[17]

Gupta K.C., Ray S., Modularity of the quasihamiltonian fuzzy subgroups, Inf. Sci., 1994, 79, 233-250

[18]

Kim J.G., Fuzzy orders relative to fuzzy subgroups, Inf. Sci., 1994, 80, 341-348

[19]

Kumar R., Fuzzy semi-primary ideals of rings, Fuzzy Sets Syst., 1991, 42, 263-272

[20]

Kumar R., Fuzzy irreducible ideals in rings, Fuzzy Sets Syst., 1991, 42, 369-379

[21]

Kumar R., Fuzzy nil radicals and fuzzy primary ideals, Fuzzy Sets Syst., 1991, 43, 81-93

[22]

Kumar R., Certain fuzzy ideals of rings redefined, Fuzzy Sets Syst., 1992, 46, 251-260

[23]

Kim J.G., Cho S.J., Structure of a lattice of fuzzy subgroups, Fuzzy Sets Syst., 1997, 89, 263-266

[24]

Murali V., Lattice of fuzzy subalgebras and closure system in I^{X}, Fuzzy Sets Syst., 1991, 41, 101-111

[25]

Malik D.S., Mordeson J.N., Fuzzy prime ideals of a ring, Fuzzy Sets Syst., 1990, 37, 93-98

[26]

Gao P.N., Cai Z.X., On Automata over Finite Boolean Ring, Mini-Micro Systems, 2006, 27, 1266-1269

[27]

A.M. Radzikowska, E.E. Kerre, Fuzzy rough sets based on residuated lattices, Transactions on Rough Sets II, 2004, 278-296

[28]

Turunen E., Mathematics Behind Fuzzy Logics, Physica, 1999

[29]

Liu S.X., Zhang P., The guidance of modern algebra, Higher Education Press, 2010

[30]

Hoo C.S., Fuzzy implicative and Boolean ideals of MV-algebras, Fuzzy Sets Syst., 1994, 66, 315-327

[31]

Höhle U., Commutative, residuated $\ell $-monoids, in: U. Höhle, E.P. Klement(Eds.), Non-crisp Logics and their Applications to Fuzzy Subsets. Kluwer Academic Publishers, Boston, Dordrecht, 1995

[32]

Ma Z.M., Hu B.Q., Topological and lattice structures of *L*-fuzzy rough sets determined by lower and upper sets, Inf. Sci., 2013, 218, 194-204

[33]

She Y.H., Wang G.J., An axiomatic approach of fuzzy rough sets based on residuated lattices, Comput. Math. Appl., 2009, 58, 189-201

[34]

Jahan I., The lattice of *L*-ideals of a ring is modular, Fuzzy Sets Syst., 2012, 199, 121-129

[35]

Davey B.A., Priestley H.A., Introduction to lattices and order, Cambridge university press, 2002

[36]

Yao W., On many-valued stratified *L*-fuzzy convergence spaces, Fuzzy Sets Syst., 2008, 159 (19), 2503-2519

[37]

Yao W., Quantitative domains via fuzzy sets: Part I: Continuity of fuzzy directed complete posets, Fuzzy Sets Syst., 2010, 161 (7), 973-987

[38]

Zhan J.M., Davvaz B., Notes on roughness in rings, Inf. Sci., 2016, 346-347, 488-490

[39]

Zhan J.M., Liu Q., Davvaz B., A new rough set theory: rough soft hemirings, J. Intell. Fuzzy Syst., 2015, 28, 1687-1697

[40]

Zhan J.M., Bin Y., Violeta-Elena Fotea, Characterizations of two kinds of hemirings based on probability spaces, Soft Comput., 2016, 20, 637-648

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