Akademik Veri Yönetim Sistemi
V International Conference on Mathematics and its Applications in Science and Engineering , Coimbra, Portekiz, 16 - 18 Eylül 2024, ss.102-103, (Tam Metin Bildiri)
The modern portfolio theory is a valuable technique for choosing investments to optimize total returns while maintaining a manageable amount of risk. An investment portfolio is built to optimize
expected return given a specific level of risk using this mathematical framework. Problems with
portfolio selection are ideally suited for multi-attribute decision-making algorithms. Within the
multi-attribute decision-making paradigm, complicated subjective preferences and diversified financial indices influence investment decisions.
There may be cases where experts do not have in-depth knowledge of the problem to be solved
in decision-making problems. In such cases, experts may fail to express their views on certain
aspects of the problem, resulting in incomplete preferences, in which some preference values are
not provided or are missing. A new model for group decision-making methods will be given in
which experts’ preferences can be expressed as incomplete Fermatean fuzzy preference relations.
The additive-consistency property guides this model and only uses the expert’s preference values.
An additive consistency definition characterized by a Fermatean fuzzy priority vector has been given.
The additive consistency property is also used to measure the level of consistency of the information
provided by the experts. The proposed additive consistency definition’s property and a model for
obtaining missing judgments in incomplete Fermatean fuzzy preference relations will be provided.
A method for adjusting the inconsistency for Fermatean fuzzy preference relations, a model for
obtaining the priority vector, and a method for increasing the consensus degrees of Fermatean fuzzy
preference relations will be used.
In recent years, the development of information technology has enabled social networks to be online
communication platforms for individuals to exchange messages and share information. This enhanced communication environment leads to a new format of group decision-making that acknowledges the influence of the social relationships among experts on the decision process and results,
i.e., social network group decision-making.
Our research has developed a social network group decision-making framework using incomplete
Fermatean fuzzy preference relations to address portfolio investment selection issues, especially
when multiple decision-makers are involved.