Public-Private Partnership Decision Making Based on Correlation Coefficients of Single-Valued Neutrosophic Hesitant Fuzzy Sets

Abstract

Public-private partnership (PPP) is regarded as an innovative way to the procurement of public projects. Models vary with PPP projects due to their differences. The evaluation criteria are usually complex and the judgments offered by decision makers (DMs) show the characteristics of fuzziness and uncertainty. Considering these cases, this paper first analyses the risk factors for PPP models and then proposes a new method for selecting them in the setting of single-valued neutrosophic hesitant fuzzy environment. To achieve these purposes, two single-valued neutrosophic hesitant fuzzy correlation coefficients are defined to measure evaluated PPP models. Considering the weights of the risk factors and their interactions, two single-valued neutrosophic hesitant fuzzy 2-additive Shapley weighted correlation coefficients are defined. When the 2-additive measure on the risk factor set is not exactly known, several distance measure-based programming models are constructed to determine it. Based on these results, an algorithm for evaluating PPP models with single-valued neutrosophic hesitant fuzzy information is developed. Finally, a practical numerical example is provided to verify the validity and feasibility of the new method.

Risk Evaluation of Sewage Treatment PPPABS Projects Using Combination Weight Method and D-S Evidence Theory

“…It can be seen from the existing literature that scholars focus on qualitative research and a few scholars have carried out quantitative analysis. However, the AHP method and the fuzzy comprehensive evaluation method are too subjective for evaluation and the evaluation effect is poor [16].…”

Constructing a Risk‐Sharing Framework for Sponge City PPP Projects from the Perspective of the Individual Participant

“…On this basis, many scholars have carried out in-depth improvement research and proposed many different types of OWA operators. At present, the C-OWA operator has been widely used to determine the index weight [40]. e C-OWA operator is an ordered weighted average operator based on the combination number.…”

“…Step 1: p experts are invited to give scores according to the importance of the indicators at the same level (0-10 scoring method) [40]. e initial scoring data set of each indicator given by n…”

“…Last, in order to achieve the unity of calculation, the obtained original data matrix should be nondimensionalized. For the sake of simple calculation, the range analysis [40] is adopted here.…”

A Single Valued Neutrosophic Extension of the Simple WISP Method

“…So far, numerous studies have been conducted to apply SVN sets for solving decisionmaking problems (Garg, 2020a(Garg, , 2020b(Garg, , 2020c(Garg, , 2022, and as a result, they have been used to solve various problems in a number of decision-making areas such as the economy (Meng et al, 2020), medicine (Zhang et al, 2018;Abdel-Basset et al, 2020), air quality evaluation (Li et al, 2016;Bera and Mahapatra, 2021), and so on. Appropriate extensions that allow the use of SVN sets have also been proposed for a number of MCDM methods, such as TOPSIS (Biswas et al, 2016), PROMETHEE (Xu et al, 2020), AHP (Kahraman et al, 2020), WASPAS (Zavadskas et al, 2015), MULTIMOORA (Stanujkic et al, 2017c), CoCoSo (Rani et al, 2021), and so on.…”