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We presented the upper semicontinuity, closedness, and the lower semicontinuity of the set-valued solution mapping for a parametric lexicographic equilibrium problem where both two constraint maps and the objective bifunction depend on both the decision variable and the parameters.
However, to the best of our knowledge, there is no work to study the stability analysis for a parametric lexicographic equilibrium problem where both two constraint maps and the objective bifunction depend on both the decision variable and the parameters.
Motivated by the mentioned works, this paper is devoted to the study of closedness upper and lower of the solution map for a parametric lexicographic equilibrium problem where both two constraint maps and the objective bifunction depend on both the decision variable and the parameters.
In Section 2, we first introduce the parametric lexicographic equilibrium problem where both two constraint maps and the objective bifunction depend on both the decision variable and the parameters, and we recall some basic definitions on semicontinuity of set-valued maps.
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In that study, both of the decision variables and parameters are assumed as fuzzy values.
where is the decision variable for ATR.
Hence the variance of the decision variable is (11).
The decision variable can then be modeled as a Gaussian random variable with mean and variance.
a The decision variable.
For the perceived-speed condition, the decision variable combines the two different types of motion.
Qualitative explanations are provided for the effect of the decision variables on both objectives.
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both the scalar variable
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both the decision aid
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both the health variable
both the response variable
both the state variable
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