Fuzzy multisets and their variants
Vakkas Ulucay; Nuh OKUMUŞ
Abstract
Sustainable tourism is one of today's rapidly growing economic areas. Promotional activities should be carried out to increase the income from sustainable tourism. In order to carry out these studies effectively, it is necessary to choose the best center. Multi-criteria decision-making approaches ...
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Sustainable tourism is one of today's rapidly growing economic areas. Promotional activities should be carried out to increase the income from sustainable tourism. In order to carry out these studies effectively, it is necessary to choose the best center. Multi-criteria decision-making approaches can be used in choosing the best tourism center. In this paper, a new generalized similarity measure on intuitionistic trapezoidal fuzzy multi-numbers is developed for decision information. The desirable properties of this proposed measure are presented in detail. Further, we develop an approach to multi-citeria decision-making (MCDM) problem on the basis of the proposed developed proposed measure. Finally, the effectiveness and applicability of our proposed MCDM model, as well as comparison analysis with other approaches are illustrated with a practical example.
Neutrosophic sets and their variants
Vakkas Uluçay; Necmiye Merve Şahin; Nisa İrem Toz; Enver Bozkurt
Abstract
Different frameworks can be chosen to solve Multi-Criteria Decision-Making (MCDM) problems emerging in business, cyber environment, economy, health care, engineering and other areas. Uncertainty, vagueness and non-rigid boundaries of the initial information are frequently noticed when dealing with the ...
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Different frameworks can be chosen to solve Multi-Criteria Decision-Making (MCDM) problems emerging in business, cyber environment, economy, health care, engineering and other areas. Uncertainty, vagueness and non-rigid boundaries of the initial information are frequently noticed when dealing with the practicalities of the MCDM tasks. Single-valued neutrosophic sets are considered as the effective tool to express uncertainty of the information, however in some cases it lacks the desirable generality and flexibility. The Q-single-valued neutrosophic sets were recently proposed to deal with this situation. Then, we develop a VIKOR method based on the Q-single-valued neutrosophic sets for novel MCDM method. In the decision-making framework, the proposed method is not only a way to solve the problem of MCDM, but also contains an important mathematical idea as a different solution approach. By applying this method to the real-life problem of cyber warfare, demonstrated the flexibility, effectiveness and feasibility of the proposed VIKOR method and compare the obtained results with the results of other existing methods.
