Abstract
This paper deals with uncertainty, asymmetric information, and risk modelling in a complex power system. The uncertainty is managed by using probability and decision theory methods. Multiple-criteria decision making (MCDM) is a very effective and well-known tool to investigate fuzzy information more effectively. However, the selection of houses cannot be done by utilizing symmetry information, because enterprises do not have complete information, so asymmetric information should be used when selecting enterprises. In this paper, the notion of soft set (SftS) and interval-valued T-spherical fuzzy set (IVT-SFS) are combined to produce a new and more effective notion called interval-valued T-spherical fuzzy soft set (IVT−SFSftS). It is a more general concept and provides more space and options to decision makers (DMs) for making their decision in the field of fuzzy set theory. Moreover, some average aggregation operators like interval-valued T-spherical fuzzy soft weighted average (IVT−SFSftWA) operator, interval-valued T-spherical fuzzy soft ordered weighted average (IVT−SFSftOWA) operator, and interval-valued T-spherical fuzzy soft hybrid average (IVT−SFSftHA) operators are explored. Furthermore, the properties of these operators are discussed in detail. An algorithm is developed and an application example is proposed to show the validity of the present work. This manuscript shows how to make a decision when there is asymmetric information about an enterprise. Further, in comparative analysis, the established work is compared with another existing method to show the advantages of the present work.
Highlights
Multi-criteria decision making (MCDM) is a process that can give the ranking results for the finite alternatives according to the attribute values of different alternatives, and it is an important aspect of decision sciences
MCDM approach is a well-known and very effective technique for the selection of the best alternative among the given and this approach has been used in different fields of fuzzy sets theory for the selection of the best alternative
It is clear from the above analysis that when decision makers provide information in the form of interval-valued spherical fuzzy soft numbers the operator IVPFWA, IVPFOWA, IVPFHA, IVPFS f t WA operator and IVPFS f t S [43] fail to tackle that kind of information but on the other hand the proposed work along with IVSFWA, IVSFOWA, IVSFHA, IVSFS f t WA, IVT-SFWA [36], IVT-SFOWA [36], IVT-SFHA [36], interval-valued spherical fuzzy weighted arithmetic means (IVSFWAM) [44], intervalvalued spherical fuzzy weighted geometric mean (IVSFWGM) [44] operators can handle this information
Summary
Multi-criteria decision making (MCDM) is a process that can give the ranking results for the finite alternatives according to the attribute values of different alternatives, and it is an important aspect of decision sciences. NMG “γ” in their information, and there are many practical examples which can be provided in this regard, so due to this reason, the idea of picture fuzzy set (PFS) [25] has been developed, which considers the AG, which is more general information and provides more space to deal with vagueness in data with condition that 0 ≤ α + β + γ ≤ 1. T-spherical fuzzy set (IVT-SFS) established by Ullah et al [36] and they have explored the evaluation of investment policy based on multi-attribute decision making using IVT-SF aggregation operators. In this paper, the notion of S f t S and IVT-SFS are combined to produce a new notion called the IVT − SFS f t S It is a more general concept and provides more space to DMs for making their decision in the field of fuzzy set theory.
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