【作者】 张炜；

【导师】 耿生玲；

【作者基本信息】 青海师范大学 ， 软件工程， 2016， 硕士

【摘要】 近年来,随着现实生活中移动通讯和电子产品的数字化和普遍化,计算机和网络等信息技术快速发展,致使现代社会中实际问题的数据存在大量的模糊性、不确定性等特征。由此,Molodtsov给出软集的概念作为通用的数学工具去处理实际中的模糊性问题。其后,Maji等许多学者在软集理论和应用领域做许多研究并获得大量的研究成果。研究表明软集为处理不确定数据的知识表示、学习、归纳和挖掘等方面提供了一种有效的处理技术和方法,因此在智能信息处理等领域得到广泛的应用,具有很大的发展潜力。合作博弈是博弈论中一个重要研究内容,联盟结构形成和收益分配问题是合作博弈中一个复杂问题。合理的收益分配是稳定联盟形成的基础,并保证联盟继续合作;反之,收益分配不合理,已形成的联盟将会面临解散的危险。很多研究学者对该理论进行研究,提出多种形式的解概念,为现实中的合作博弈问题提供合理有效的分配方案,使形成的合作联盟能够稳定持久的发展,其应用十分广泛。本文以模糊软集与合作博弈为背景,给出一种模糊软合作博弈模型。对该模型的核心,S-shapley值,S-匹配值等解概念进行定义和描述。新定义的模型根据联盟中各个参与者之间的实质情况,运用新定义的解概念解决收益分配问题,计算过程相对简单,结果比较符合实际。该模型可用来解决现实中规模较大的联盟收益分配问题和具有模糊性的收益分配问题,给出参与者合理的期望收益值;对于市场中的企业联盟建立自己长期稳定的收益分配,也有很好的指导和借鉴。更多还原

【Abstract】 In recent years, with the digitalization and generalization of real-life mobile communications and electronic products, computers, the Internet and other information technologies have developed rapidly. This has resulted in the presence of a lot of ambiguity and uncertainty on the level of the data on the actual problems of modern society. Therefore, Molodtsov has come up with the concept of soft sets as a common mathematical tools to deal with the problem of ambiguities in real life. On this basis, Maji and many other scholars have successfully done a lot of research in soft sets theories and applications. Studies have shown that soft sets provide effective treatment technologies and methods to deal with the representation of knowledge on uncertain data, its study, its induction and mining. Thus, soft sets are widely used in the field of intelligent information processing and have a great potential for development.Cooperative game is an important subject of research in game theory, and the formation of coalition structure and the problem of income distribution are complex issues in cooperative game. A reasonable distribution of income is the basis to form a stable coalition, and ensure a continued cooperation within the alliance. On the contrary, if the distribution of income is irrational, the existing alliance would face the risk of dissolution. Many researchers are studying this theory, and have put forward multiple forms of solution concept to provide reasonable and effective distribution plans for the practical question of cooperative game, so as to enable the formed alliances to develop in a stable and lasting way. The application of cooperative game is very wide.This paper gives a fuzzy soft cooperative game model using fuzzy soft sets and cooperative game as a background. The core of this model, S-Shapley value, S- match values and other solution concepts are defined and described. The new definition of the model is based on the substance of the case between the various participants in the alliance. That newly defined solution concept is then used to solve the problem of income distribution and enables the calculation process to be relatively simple, and the results more realistic. The model can be used to solve real-world issues of income distribution within large-scale alliances and the problem of the distribution of fuzzy income; it provides the participants with reasonable expected return values. This is also a good guide and reference for the business alliances on the market to be able to establish a long-term stable income distribution.更多还原