Werners has taken lexmaxmin (lexicographically extended maxmin) optimization as a starting point for fuzzy multiobjective decision problems in order to cover both the maxmin aggregation operator from fuzziness as well as the sine-quanon prerequisite of Pareto optimality. There are two other criteria, one sharper, the other less sharp, than lexmaxmin, which could serve the same purpose: “No-reason-for-regret” (NR), which was previously introduced by the author of the present paper, and Heindl's criterion. The paper discusses interrelations between Pareto, maxmin, NR: lexmaxmin, and Heindl's criterion, it is shown that the multiobjective functions involved in any of these models are Stricty quasiconcave if their component funcutions are quasiconcave and Strictly quasiconcave. The component functions are given on a convex subset of a real linear space and take on values from a total order. It is briefly discussed that any strictly quasiconcave function with values from a connected quasiorder can be handled b...