A novel perspective for Q-neutrosophic soft relations and their application in decision making
Artificial Intelligence Review, cilt.56, sa.2, ss.1493-1513, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 56 Sayı: 2
- Basım Tarihi: 2023
- Doi Numarası: 10.1007/s10462-022-10207-3
- Dergi Adı: Artificial Intelligence Review
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, Educational research abstracts (ERA), Index Islamicus, INSPEC, Library and Information Science Abstracts, Library, Information Science & Technology Abstracts (LISTA), Metadex, Psycinfo, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.1493-1513
- Anahtar Kelimeler: Decision making, Q-neutrosophic soft function, Q-neutrosophic soft relation, Q-neutrosophic soft set
- Kütahya Sağlık Bilimleri Üniversitesi Adresli: Hayır
Özet
Although neutrosophic soft sets are quite successful in expressing neutral uncertain information, this mathematical approach is insufficient if the dimension of uncertain information increases. Therefore, in order to present a better approach to the uncertainty problems encountered, Q-neutrosophic soft sets (Abu Qamar in Entropy 20:172, 2018), which are a generalization of neutrosophic soft sets, are proposed for processing two-dimensional uncertain information. Moreover, relations are one of the methods preferred by researchers to explain the correspondences between objects in uncertain environments. The purpose of this paper is to explain the correspondence between objects in a better way. For this, the Q-neutrosophic soft set theory defined in Abu Qamar and Hassan (Entropy 20:172,2018) has been modified by taking inspiration from the definition of neutrosophic soft sets proposed by Deli and Broumi (J Intell Fuzzy Syst 28:2233–2241, 2015). In this way, it has been ensured that the two-dimensional information can be used more effectively in uncertainty problems encountered in many real-life problems. In this paper, Q-neutrosophic soft relations are defined by referring to the modified Q-neutrosophic soft set theory and analyzed in detail. Later, concepts related to Q-neutrosophic soft relations such as composition, inverse, functions, equivalence classes, and partitions are given. These concepts are especially exemplified by selecting uncertainty problems that can be encountered in real life and some related properties and theorems are presented. Finally, in an uncertainty problem, a decision-making algorithm is proposed by using the correspondence between objects and a comparison is given.