Given a finite set of alternatives, the sorting (or assignment) problem consists in the assignment of each alternative to one of the pre-defined categories. In this paper, we are interested in multiple criteria sorting problems and, more precisely, in the existing method ELECTRE TRI. This method requires the elicitation of preferential parameters (importance coefficients, thresholds, profiles,....

We report our progress towards the synthesis of Urukthapelstatin A (Ustat A) and two analogues. Our retrosynthetic strategy involved the synthesis of three fragments: a tri-heteroaromatic moiety, a phenyl oxazole fragment, and a dipeptide. Described are the syntheses of three unique tri-heteroaromatic moieties. In addition, the corresponding linear precursors of Ustat A and two analogues are pr...

The relationship between external dose and internal dose of trichloroethylene (Tri) was analyzed by using a physiological simulation model. The external dose of Tri was represented by the time-weighted average (TWA) concentration in inhaled air or by the product of exposure concentration and exposure duration, and the internal dose by the area under the curve (AUC) of Tri blood concentration or...

Tri-level programming deals with hierarchical optimization problems in which the toplevel decision maker attempts to optimize his or her objective, but subjects it to a set of constraints and the reactions of decision makers at the middle-level and bottom-level. The middle-level’s decision is at the same time influenced by the reactions of the bottom decision maker. To describe and solve this c...

Magnetometers combined with inertial sensors are widely used for orientation estimation, and calibrations are necessary to achieve high accuracy. This paper presents a complete tri-axis magnetometer calibration algorithm with a gyro auxiliary. The magnetic distortions and sensor errors, including the misalignment error between the magnetometer and assembled platform, are compensated after calib...

For most substrates of ubiquitin (Ub)-dependent degradation, recognition by the proteasome is mediated by a covalently attached signal assembled from multiple ubiquitins linked to each other via the C terminus of one Ub and the epsilon-amine of Lys(48) of another Ub. Among Ub-conjugating enzymes, E2-25K is unique in its ability to synthesize in vitro unanchored Lys(48)-linked poly-Ub chains fro...

In this paper, we develop a fuzzy tri-level decision making (FTLDM) model to deal with decentralized decision making problems with three levels of decision makers. Based on the λ-cut of fuzzy set, we transform an FTLDM problem into a multiobjective tri-level decision making problem. Based on the linear tri-level Kth-best algorithm, the global optimal solution can be obtained. A case study for t...