id: 06089182 dt: j an: 06089182 au: Recasens, J. ti: Permutable indistinguishability operators, perfect vague groups and fuzzy subgroups. so: Inf. Sci. 196, 129-142 (2012). py: 2012 pu: Elsevier Science Inc. (North-Holland), New York, NY la: EN cc: ut: indistinguishability operators; permutability; fuzzy groups; fuzzy normal subgroups; vague groups ci: li: doi:10.1016/j.ins.2012.02.005 ab: Summary: Permutability between $T$-indistinguishability operators is a very interesting property that is related to the compatibility of the operators with algebraic structures. It will be shown that the $\sup$-$T$ product $E\circ F$ of two $T$-indistinguishability operators is also a $T$-indistinguishability operator if and only if $E$ and $F$ are permutable $T$-indistinguishability operators (i.e., $E\circ F=F\circ E$). This property will be related to the study of fuzzy subgroups, fuzzy normal subgroups and vague groups. The aggregation of fuzzy subgroups will also be analyzed. rv: