Rough set theory has witnessed great success in data mining and knowledge discovery, which provides a good support for decision making on certain data. However, practical problem always shows diversity under the same circumstance according to different personality of makers. A simplex model can not provide full description such diverse decisions. In this article, review Pawlak rough models probabilistic is presented, three-way view based decision-theoretic proposed, optimistic decision,...

Rough set theory has witnessed great success in data mining and knowledge discovery, which provides a good support for decision making on certain data.However, practical problem always shows diversity under the same circumstance according to different personality of makers.A simplex model can not provide full description such diverse decisions.In this article, review Pawlak rough models probabilistic is presented, three-way view based decision-theoretic proposed, optimistic decision,...

Three-way decision provides a new perspective for dealing with uncertainty and complexity in decision-making problems. However, behaviors of decision-makers may be influenced by different risk attitudes reality. To address this problem, article, we construct regret-based three-way model under interval type-2 fuzzy environment. Basically, regret theory set are utilized to improve coping the uncertainty. Two core issues focus on determination rules estimation conditional probabilities The...

Due to the effectiveness and advantages of interval-valued intuitionistic fuzzy sets (IVIFSs) in evaluating uncertainty risk, we introduce IVIFSs into loss functions decision-theoretic rough (DTRSs) propose an optimization-based approach three-way decisions. First, based on classical DTRSs two previous optimization models, construct a new concise linear programming model for simultaneously determining threshold pair. Our is mathematically equivalent models under Karush-Kuhn-Tucker (KKT)...

Collaboration is complex. To solve a problem occurring in collaboration, using computers, we must first define and specify the problem. This paper presents challenging called group role assignment with cooperation conflict factors (GRACCFs). problem's solution aims at creating high-performance by consideration of conflicts between agents. The contribution this formalization proposed problem, confirmation complexity practical that uses IBM ILOG CPLEX optimization package (ILOG), verification...

Regression analysis based methods have shown strong robustness and achieved great success in face recognition. In these methods, convex <inline-formula><tex-math notation="LaTeX">$l_1$</tex-math></inline-formula> -norm nuclear norm are usually utilized to approximate the notation="LaTeX">$l_0$</tex-math></inline-formula> rank function. However, such relaxations may introduce a bias lead suboptimal solution. this paper, we propose novel Enhanced Group Sparse regularized Nonconvex (EGSNR)...

Abstract In this paper, we propose a three-way decision (TWD) method on multi-scale single-valued neutrosophic systems (MS-SVNDSs). First, to explore the application of sets (SVNSs) in environment, establish rough set model MS-SVNDSs. Then, aiming at problem knowledge acquisition MS-SVNDSs, present corresponding optimal scale selection and reduction methods by using evidence theory, more direct simpler algorithm is also discussed. For obtaining results that are line with human cognition,...

Adaptive collaboration (AC) is essential for group performance optimization in collaborative systems. This paper begins by introducing AC within the context of solving a real-world problem. Next, problems are formalized based on environment-class, agent, role, group, and object (E-CARGO) model. Three algorithms proposed problems. They three different scenarios: 1) current state (GS); 2) GS after specific period; 3) throughout collaboration. More complex their solutions then investigated....

Unit commitment, as one of the most important control processes in power systems, has been studied extensively past decades. Usually, goal unit commitment is to reduce much production cost possible while guaranteeing supply operated with a high reliability. However, system operators encounter increasing difficulties achieve an optimal scheduling due challenges coping uncertainties that exist both and demand sides. This study develops day-ahead two-stage multi-objective model which optimizes...