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We find that the tolerant possibility degree of interval number has significant impacts on the distances.
The reliability idea is introduced to establish an interval optimization model relying on the satisfaction degree of interval.
To overcome these shortcomings, a novel optimization algorithm is proposed for directly solving the nonlinear constrained interval optimization models based on a novel concept of the degree of interval constraint violation (DICV) and the DICV-based preferential guidelines.
The planned distance strictly increased, while the additional distance strictly decreased and the total distance after coordinated transport has a U-typed relationship with the tolerant possibility degree of interval number.
To overcome the shortcomings of indirect interval optimization approaches, a novel concept of the normalized violation degree of interval constraint (NVDIC) and the NVDIC-based preferential guidelines are proposed for directly sorting different design vectors.
Furthermore, preference degree of interval numbers is utilized for calculating extremum and ranking.
Similar(48)
Hafezalkotob et al. (2016) presented an extended MULTIMOORA method with interval decision matrix based on interval arithmetic and preference degree of intervals.
The conventional indirect approaches for solving the interval optimization model will result in different optimal solutions when prescribing different satisfactory degrees of interval constraints and also deviates from the original intention of modeling the optimization problem based on interval theory.
Specifically, different acceptable robustness levels or satisfactory degrees of interval constraints prescribed in model transform process will lead to different optimal solutions.
This result is applied in the degree reduction of interval polynomial/Bézier curves in Computer Aided Design.
The following definitions and properties apply to the preference degree of one interval over the other (Wang et al. 2005): (P bar{z} > bar{y}) = 1 - P bar{y} > bar{z})).
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