Fuzzy Optimization and Decision Making
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On the properties of sequences of fuzzy-valued Choquet integrable functions
Fuzzy Optimization and Decision Making - Tập 7 - Trang 417-431 - 2008
In this paper, we focus on investigating the properties of sequences of fuzzy-valued Choquet (for short, (C)-) integrable functions. Firstly, the concept of uniform (C)-integrabiliy and other new concepts like uniform absolute continuity and uniform boundedness for sequences of fuzzy-valued (C)-integrable functions are introduced and then the relations among them are discussed. As the applications......
Probabilistic-based expressions in behavioral multi-attribute decision making considering pre-evaluation
Fuzzy Optimization and Decision Making - Tập 20 - Trang 145-173 - 2020
A behavioral multi-attribute decision making (BMADM) problem with probabilistic-based expressions is studied by considering decision-maker’s (DM) risk attitude and pre-evaluation. With consideration of information expressions for uncertainty, probabilistic interval numbers (PINs) and probabilistic linguistic terms (PLTs) are utilized to depict pre-evaluation information with respect to quantitativ......
An interactive procedure for linguistic multiple attribute decision making with incomplete weight information
Fuzzy Optimization and Decision Making - Tập 6 - Trang 17-27 - 2007
In this paper, we consider the multiple attribute decision making (MADM) problems, in which the information about attribute weights is partly known and the attribute values are expressed in linguistic labels. We first define the concepts of linguistic positive ideal point, linguistic negative ideal point, and satisfactory degree of alternative. Based on these concepts, we then establish some linea......
A subjective interpretation of Liu–Liu’s credibility measures and expectations
Fuzzy Optimization and Decision Making - Tập 23 - Trang 63-91 - 2023
We consider credibility measures introduced by Liu and Liu and the corresponding credibility expectations, obtained through the Choquet integral. In analogy with de Finetti’s approach to probability, we show that also for credibility measures and expectations, a subjective interpretation can be given through suitable notions of coherence. In detail, coherence can be expressed equivalently in terms......
Saddle Point Optimality Conditions in Fuzzy Optimization Problems
Fuzzy Optimization and Decision Making - Tập 2 - Trang 261-273 - 2003
The fuzzy-valued Lagrangian function of fuzzy optimization problem via the concept of fuzzy scalar (inner) product is proposed. A solution concept of fuzzy optimization problem, which is essentially similar to the notion of Pareto solution in multiobjective optimization problems, is introduced by imposing a partial ordering on the set of all fuzzy numbers. Under these settings, the saddle point op......
Numerical Approach of Multi-Objective Optimal Control Problem in Imprecise Environment
Fuzzy Optimization and Decision Making - Tập 4 - Trang 313-330 - 2005
In this paper, realistic production-inventory models without shortages for deteriorating items with imprecise holding and production costs for optimal production have been formulated. Here, the rate of production is assumed to be a function of time and considered as a control variable. Also the demand is time dependent and known. The imprecise holding and production costs are assumed to be represe......
Stability analysis for uncertain differential equation by Lyapunov’s second method
Fuzzy Optimization and Decision Making - Tập 20 - Trang 129-144 - 2020
Uncertain differential equation is a type of differential equation driven by Liu process that is the counterpart of Wiener process in the framework of uncertainty theory. The stability theory is of particular interest among the properties of the solutions to uncertain differential equations. In this paper, we introduce the Lyapunov’s second method to study stability in measure and asymptotic stabi......
Multi-criteria sorting decision making based on dominance and opposition relations with probabilistic linguistic information
Fuzzy Optimization and Decision Making - Tập 19 - Trang 435-470 - 2020
The probabilistic linguistic term set (PLTS) is a powerful tool for describing linguistic evaluations derived from expert teams and has adequate capability to identify preferences among different evaluations. Due to the practicability of PLTSs, probabilistic linguistic decision making problems have been widely investigated in recent years. However, no study on probabilistic linguistic outranking r......
Survey on fuzzy shop scheduling
Fuzzy Optimization and Decision Making - Tập 15 - Trang 331-366 - 2015
The real life scheduling problems often have several uncertainties. The solutions of these problems can provide deeper insights to the decision maker than those of deterministic problems. Fuzzy set theory as most important tool to model uncertainty represents an attractive tool to aid research in the production management. Since to the best of our knowledge, there is not a comprehensive review on ......
A fuzzy sustainable model for COVID-19 medical waste supply chain network
Fuzzy Optimization and Decision Making - - Trang 1-35 - 2023
The COVID-19 has placed pandemic modeling at the forefront of the whole world’s public policymaking. Nonetheless, forecasting and modeling the COVID-19 medical waste with a detoxification center of the COVID-19 medical wastes remains a challenge. This work presents a Fuzzy Inference System to forecast the COVID-19 medical wastes. Then, people are divided into five categories are divided according ......
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