We present the concept of bi-capacity as a generalization of capacities (or fuzzy measures). The Choquet integral w.r.t. bi-capacities is defined, and is a generalization of Cumulative Prospect Theory models. This new model can bring much more flexibility in representing preferences. Lastly, we introduce the Möbius transform of bi-capacities.

After the introduction of fuzzy sets by Zadeh [20] in 1965, several researchers have been working on the generalization of the fuzzification. In 1986, Atanassov [2] introduced the notion of intuitionistic fuzzy sets. For more details on the intuitionistic fuzzy sets, we refer to [2-4]. Fuzzy sets are intuitionistic fuzzy sets but the converse is not necessarily true [18]. Kim and Jun [7, 8] int...

Local Container Drayage Problem (LCDP) refers to the optimization of process planning and scheduling container trucks between a terminal customers offer door-to-door service in local area. The time required for (un)packing containers at customers’ sites are often relatively long uncertain due current work level unexpected deviations operational situations, which has significant influence on tra...

This paper presents a new bi-level multi-objective model to valorize the microgrid (MG) flexibility based on flexible power management system. It considers presence of renewable and resources including demand response program (DRP), energy storage system integrated unit electric spring with vehicles (EVs) parking (IUEE). The proposed in upper-level maximizes expected profit subject constraints....

Distributed energy resources (DERs) including distributed generators (DGs) and controllable loads (CLs) are managed in the form of several microgrids (MGs) in active distributions networks (ADNs) to meet the demand locally. On the other hand, some loads of distribution networks (DNs) can be supplied by retailers which participate in wholesale energy markets. Therefore, there are several decisio...

Right ternary near-rings (RTNR) are generalization of their binary counterpart and fuzzy soft sets are generalization of soft sets which are parameterized family of subsets of a universal set. In this paper fuzzy soft Nsubgroups, quasi-ideals and bi-ideals over a right ternary near-ring N are defined. The substructures N-subgroups, quasi-ideals and bi-ideals of an RTNR are characterized in term...