When using linguistic approaches to solve decision problems, we need linguistic representation models. The symbolic model, the 2-tuple fuzzy linguistic representation model and the continuous linguistic model are three existing linguistic representation models based on position indexes. Together...

Inspired by the concept of deviation measure between two linguistic preference relations, this paper further defines the deviation measure of a linguistic preference relation to the set of consistent linguistic preference relations. Based on this, we present a consistency index of linguistic...

Because individual interpretations of the analytic hierarchy process (AHP) linguistic scale vary for each user, this study proposes a novel framework that AHP decision makers can use to generate numerical scales individually, based on the 2-tuple linguistic modeling of AHP scale problems. By...

We consider the online Steiner Traveling Salesman Problem. In this problem, we are given an edge-weighted graph G = (V, E) and a subset D⊆V of destination vertices, with the optimization goal to find a minimum weight closed tour that traverses every destination vertex of D at least once....

This work studies a variant of the online generalized assignment problem, where there are m⩾2 heterogeneous servers to process n requests which arrive one by one over time. Each request must either be assigned to one of the servers or be rejected upon its arrival, before knowing any...

We study an online scheduling problem on a single machine with delivery times. The problem is online in the sense that all jobs arrive over time. Each job's characteristics, such as processing time and delivery time, become known at its arrival time. Preemption is not allowed and once the...