Dealing with Vagueness of Norms: the Theory of Fuzzy Sets

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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Fuzzification - Decision Making in Terms of Uncertainty

ECONOMICS ◽

10.2478/eoik-2018-0022 ◽

2018 ◽

Vol 6 (2) ◽

pp. 87-94

Author(s):

Željko V. Račić

Keyword(s):

Decision Making ◽

Fuzzy Sets ◽

Individual Preference ◽

Decision Makers ◽

Final Decision ◽

Standard Interpretation ◽

Subjective Estimation ◽

Qualitative Attribute ◽

Theory Of Fuzzy Sets

Summary The theory of fuzzy sets allows to analyze insufficiently precise, accurate, complete phenomena which can not be modeled by the theory of probability or interval mathematics. We define fuzzy sets as sets where the boundary of the set is unclear and depends on subjective estimation or individual preference. In addition to the standard interpretation scale, described above, a set of numbers to each qualitative attribute must be assigned. In addition to the standard interpretation scale a set of numbers to each qualitative attribute must be assigned. First of all, it is necessary to determine the procedure for determining fuzzy numbers describing the attributes. One of the imperfections of the fuzzy sets is subjectivism when defining the boundaries of fuzzy sets and functions of belonging, which can significantly influence the final decision. The decision maker’s subjectivity is also present in the determination of weighted coefficients. However, in case of giving weight, fixed values are necessary. Some decisions require multidisciplinary knowledge, so the decision-making process includes more group decision-makers, who independently give their grades.

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ASSESSMENT MODEL OF COMMODITY-MATERIAL STOCKS SUPPLIER APPEAL OF LOGISTICS COMPANIES

Bulletin of Bryansk state technical university ◽

10.30987/article_5c8b5cec0607f7.86717782 ◽

2019 ◽

Vol 2019 (3) ◽

pp. 78-85

Author(s):

Алексей Зёрнышкин ◽

Aleksey Zernyshkin ◽

Александр Сизов ◽

Aleksandr Sizov ◽

Вячеслав Добрица ◽

...

Keyword(s):

Fuzzy Sets ◽

System Approach ◽

Model Development ◽

Fuzzy Model ◽

Overwhelming Majority ◽

Assessment Model ◽

System Operation ◽

Logistics Strategy ◽

Efficient Control ◽

Theory Of Fuzzy Sets

The work is devoted to the consideration of the approach to effectiveness increase in socialeconomic system operation through the fuzzy model development for the supplier choice of commoditymaterial stocks in logistic companies. The problem urgency is conditioned on the system approach absence in the overwhelming majority of companies to the formation of procurement logistics strategy which makes difficulties in the process rapid management and charges efficient control. The theory of fuzzy sets is a methodological ba-sis of the work. The model developed has a practical value for the leadership of logistics companies.

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SOFTWARE SELECTION ON BASE OF SUGENO INTEGRAL

World Science ◽

10.31435/rsglobal_ws/30092020/7166 ◽

2020 ◽

Author(s):

Vagif Salimov

Keyword(s):

Decision Making ◽

Fuzzy Sets ◽

Mutual Influence ◽

Evaluation Criteria ◽

Fuzzy Measure ◽

Multi Criteria Decision Making ◽

Main Difficulty ◽

Software Selection ◽

Sugeno Integral ◽

Theory Of Fuzzy Sets

The article is devoted to the problem of software selection. As a rule, this tasks are formalized as models of multi-criteria decision making (MCDM). The peculiarity of this problem is in the fact that the evaluation criteria , is generally defined by linguistic expert. This requires the use of special methods, in particularly, the theory of fuzzy sets. To solve the problem, an approach based on the a fuzzy measure was used . In general, a fuzzy measure allows one to take into account the effect of the mutual influence of criteria. The main difficulty lies in identifying this measure. The fuzzy Sugeno measure and Sugeno integral were used. An example of solving the indicated problem is given.

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