Covering-based Generalized Intuitionistic Fuzzy-Rough Set Models for A Selecting HVAC System

Himmetoğlu S., Kızılkaya Aydoğan E., Delice Y.

Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.38, no.3, pp.500-507, 2022 (Peer-Reviewed Journal)


In today's urban life, most people spend their time at home or at work office. For this reason, design and selecting of building materials that control heating (H), ventilation (V), and air conditioning (AC) are quite essential. The building materials called, in short HVAC, must simultaneously provide high comfort, low cost and high energy productivity. Furthermore, HVAC must be appropriately designed to prevent adverse effect on the environment and climate of the buildings. In this study, nine different HVAC systems were examined according to nine different criteria over cost, pollution, comfort and energy which are considered as four main factors in the selection of HVAC systems. Since some of the criteria for HVAC systems are described as linguistic, it is not possible to evaluate the systems with traditional methods using crisp values. Therefore, we propose generalized intuitionistic fuzzy (IF)-rough set models which are a new and flexible method. IF-neighborhoods are formed by using IF-implicator and IF-t norms functions, and upper and lower approximations in rough set theory are calculated according to the neighborhoods. Covering-based generalized IF rough set models generated by using the approximations IF-TOPSIS method. According to the obtained results, we can see that the proposed method is an appropriate decision-making method which considers the uncertainties in the linguistic expressions for selecting the most suitable HVAC system.