Abstract
AbstractEnterprise strategic alliance is a win-win business competition mode that has been developed in both academia and industry. How to allocate total profit fairly in an uncertain environment, however, is an important factor affecting the stability of the strategic alliance. To handle this problem, this paper proposes a new interval number ranking method based on synthesis effect function in which four basic principles to construct an appropriate synthesis effect function are developed. Using the new interval number ranking method, this paper defines a new concept of interval core. The necessary and sufficient condition to guarantee that the interval core is nonempty is also discussed and addressed using a special kind of additive synthesis effect function. A relatively optimal interval core model and an algorithm are developed to solve the proposed fuzzy allocation problem. Finally, a case study is presented to validate the proposed model and algorithm. Data analysis shows that we can obtain the only...
Highlights
With the globalization of the economy, there is an urgent inclination for most enterprises to broaden their business market
The main contributions of this paper are motivated by the above presentation and can be summarized in the following way: 1) We propose a new interval number ranking method based on synthesis effect function, which is the basis of the following researches with a total ordering and can effectively realize the size relation of any two interval number, the construction method of the synthesis effect function is systematically discussed
We proposed a new interval number ranking method (SE-INRM) and discussed the basic principles for selecting an appropriate synthesis effect function
Summary
With the globalization of the economy, there is an urgent inclination for most enterprises to broaden their business market. The main contributions of this paper are motivated by the above presentation and can be summarized in the following way: 1) We propose a new interval number ranking method based on synthesis effect function, which is the basis of the following researches with a total ordering and can effectively realize the size relation of any two interval number, the construction method of the synthesis effect function is systematically discussed. 2) We propose a new allocation solution concept-interval core using the interval number ranking method and by a special kind of additive synthesis effect function, a theorem to guarantee a nonempty interval core is formulated to solve the allocation problems when profits of each alliance are interval numbers.
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