Fuzzy sets: Decision making, and expert systems

1987 ◽  
Vol 3 (3) ◽  
pp. 221-222
Author(s):  
R.P. van de Riet
Author(s):  
Pushpinder Singh

Ranking of fuzzy sets plays an important role in decision making, optimization, forecasting, etc. Fuzzy sets must beranked before an action is taken by a decision maker. Fuzzy sets with different heights are a generalization of theordinary fuzzy sets. In this paper, with the help of several counterexamples, it is proved that the ranking methodproposed by Lee and Chen (Expert Systems with Applications 34, 2008, 2763-2771) is incorrect. The main aim of thispaper is to propose a new approach for the ranking of fuzzy sets with different heights. The main advantage of theproposed approach is that with it the correct ordering of fuzzy sets with different heights, and also the results of theproposed ranking method and the existing ranking method, can be compared.


Author(s):  
Natalya Ivanovna Shaposhnikova ◽  
Alexander Aleksandrovich Sorokin

The article consideres the problems of determining the need to modernize the base stations of the cellular network based on the mathematical apparatus of the theory of fuzzy sets. To improve the quality of telecommunications services the operators should send significant funding for upgrading the equipment of base stations. Modernization can improve and extend the functions of base stations to provide cellular communication, increase the reliability of the base station in operation and the functionality of its individual elements, and reduce the cost of maintenance and repair when working on a cellular network. The complexity in collecting information about the equipment condition is determined by a large number of factors that affect its operation, as well as the imperfection of obtaining and processing the information received. For a comprehensive assessment of the need for modernization, it is necessary to take into account a number of indicators. In the structure of indicators of the need for modernization, there were introduced the parameters reflecting both the degree of aging and obsolescence(the technical gap and the backlog in connection with the emergence of new technologies and standards). In the process of a problem solving, the basic stages of decision-making on modernization have been allocated. Decision-making on the need for modernization is based not only on measuring information that takes into account the decision-makers, but also on linguistic and verbal information. Therefore, to determine the need for upgrading the base stations, the theory of fuzzy sets is used, with the help of which experts can be attracted to this issue. They will be able to formulate additional fuzzy judgments that help to take into account not only measuring characteristics, but also poorly formalized fuzzy information. To do this, the main indicators of the modernization need have been defined, and fuzzy estimates of the need for modernization for all indicators and a set of indicators reflecting the need for upgrading the base stations have been formulated.


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