In this paper, the authors extend the concept of a t-intuitionistic fuzzy set to PMS-subalgebras of PMS-algebras. The authors define the t-intuitionistic fuzzy PMS-subalgebra of a PMS-algebra and... Show More

In this paper, the authors extend the concept of a t-intuitionistic fuzzy set to PMS-subalgebras of PMS-algebras. The authors define the t-intuitionistic fuzzy PMS-subalgebra of a PMS-algebra and show that any intuitionistic fuzzy PMS-subalgebra of a PMS-algebra is a t-intuitionistic fuzzy PMS-subalgebra. The authors provide the condition for an intuitionistic fuzzy set in a PMS-algebra to be a t-intuitionistic fuzzy PMS-subalgebra. The authors use their (α,β) level cuts to characterize the t-intuitionistic fuzzy PMS-subalgebras of PMS-algebra. The authors investigate whether the homomorphic images and inverse images of t-intuitionistic fuzzy PMS-subalgebras are also t-intuitionistic fuzzy PMS-subalgebras. Furthermore, the authors show that the homomorphic images and inverse images of the nonempty (α,β) level cuts of the t-intuitionistic fuzzy PMS-subalgebras of a PMS-algebra are again PMS-subalgebras of a PMS-algebra. Finally, the authors show that the Cartesian product of the t-intuitionistic fuzzy PMS-subalgebras of a PMS-algebra is itself a t-intuitionistic fuzzy PMS-subalgebra and characterize it in terms of its (α,β) level cuts.

This work investigates an important topic of energy and water security (water-energy nexus). For this purpose, Water-Energy Management Strategy (W-EMS) for a standalone water desalination system... Show More

This work investigates an important topic of energy and water security (water-energy nexus). For this purpose, Water-Energy Management Strategy (W-EMS) for a standalone water desalination system powered by PV-Wind source is designed. The proposed W-EMS is based on fuzzy logic. In this context, authors focus on the design phase of the Fuzzy Inference System (FIS) through which three design methods are described and analyzed. The influence of FIS design on W-EMS performance is highlighted. First, it is shown that based on the designer's knowledge, the handmade-FIS can offer good performance for the W-EMS. Then, the water-energy management is formulated as an optimization problem. Therefore, genetic algorithm is used to optimize the FIS design to reduce iterative hand-tuning trials. Furthermore, the design of the fuzzy W-EMS can be addressed by a data-driven approach as a third step. This method shows its good performance in terms of water production and energy efficiency compared to the designed FISs by the two previous methods (handmade tuning and genetic algorithm).

The Entropy measure of an intuitionistic fuzzy set (IFS) plays a significant role in decision making sciences, for instance, medical diagnosis, pattern recognition, criminal investigation, etc. The... Show More

The Entropy measure of an intuitionistic fuzzy set (IFS) plays a significant role in decision making sciences, for instance, medical diagnosis, pattern recognition, criminal investigation, etc. The inadequate nature of an entropy measure may lead to some invalid results. Therefore, it is significant to use an efficient entropy measure for studying various decision-making problems under IFS environment. This paper first proposes a novel similarity measure for IFS. Based on the proposed similarity measure, an advanced entropy measure is defined with a different axiomatic approach. This axiomatic approach allows us to measure an IFS's entropy with the help of a similarity measure. To show the efficiency of the proposed similarity measure, a comparative study is performed with the existing similarity measures. Some structural linguistic variables are taken as examples to show the validity and consistency of the proposed entropy measure along with the existing entropy measures. Finally, based on the proposed entropy measure, a multi-criteria decision-making problem is performed.

In this paper, a general type-2 fuzzy controller is proposed. The proposed general type-2 fuzzy controller is based on α-plane representation, which converts the centroid of general type-2 fuzzy... Show More

In this paper, a general type-2 fuzzy controller is proposed. The proposed general type-2 fuzzy controller is based on α-plane representation, which converts the centroid of general type-2 fuzzy sets to centroids of several interval type-2 fuzzy sets. Also, the mathematical expression of general type-2 fuzzy controller is derived by fuzzy product operate and NT type reduction. By the mathematical expression, the relation between general type-2 fuzzy controller output with parameter of triangular secondary membership function is discussed. Finally, the control performances of proposed general type-2 fuzzy controller are compared with conventional PID controller, tradition type-1 fuzzy controller, and interval type-2 fuzzy controller. Furthermore, to show the effective and practical of the proposed controller, a nonlinear inverted pendulum system is tested. The simulation results show that general type-2 fuzzy controller achieves better control efforts than other compared controllers.

Due to the development of intelligent decision-making, social network group decision making (SNGDM) has become increasingly valued. Self-persistence is a significant topic in SNGDM problems, while... Show More

Due to the development of intelligent decision-making, social network group decision making (SNGDM) has become increasingly valued. Self-persistence is a significant topic in SNGDM problems, while it is ignored in most existing research. Besides, existing opinion evolution models often ignore high-order interactions because they assume individuals only communicate with their friends or neighbors. With these issues in mind, the authors propose a multi-step interaction opinion dynamics model to manage the consensus in SNGDM problem with self-persistence evolution. Given the decision makers' social network information, the centrality degree, interaction strength, and high-order interactions are combined to construct a social influence network. Inspired by the social influence model, the authors develop an opinion dynamic consensus model which also describes the evolution of self-persistence in a group of decision makers. Finally, an example and detailed simulation experiment are presented to demonstrate the efficiency of the proposed consensus model.

Failure mode and effects analysis (FMEA) is a powerful risk management tool and engineering technique for eliminating potential failures. This paper aims to improve FMEA by introducing the... Show More

Failure mode and effects analysis (FMEA) is a powerful risk management tool and engineering technique for eliminating potential failures. This paper aims to improve FMEA by introducing the calibrated linguistic semantic (CIS) and a consensus reaching process with minimum adjustment cost. CIS can effectively solve the problem that different individuals may have different understandings of the same term, and the consensus reaching process can reduce the potential inconsistency and conflict to make the result of rank more accurate and convincing. A novel criteria weight allocation method based on the performance of alternatives is used to obtain the relative weights of risk factors (RF), which is not only based on the function framework but also can obtain the relative weight of RFs through the evaluation matrix directly. Then, the proposed FMEA framework is applied to the industrial internet platform. Finally, the comparisons between the proposed and other methods are presented to demonstrate the effectiveness and advantages of the new method.

Effective methods of bilateral matching decision-making could make the second-hand transaction market and platforms more dynamic and healthier for development. However, the loss of description about... Show More

Effective methods of bilateral matching decision-making could make the second-hand transaction market and platforms more dynamic and healthier for development. However, the loss of description about the characteristics of sellers and buyers and the weight information of their inner preference can affect the matching result. By developing a method for a second-hand transaction, this paper proposes a novel approach that considers the matching parties' psychologies, which can improve the matching efficiency. A mathematical model of seller and buyer is performed, and then the price and other evaluation indicators of sellers and buyers are described by five different types. A bilateral matching multi-objective decision-making model is constructed and solved. A real case study of property trade platform is presented to illustrate how the proposed approach could be applied in practice. The results of this research indicate that the proposed approach is a useful tool for matching the sellers and buyers and has substantial practical application.

In China, the expressways have been built a lot over the past decade. The construction of the expressway suffers from usual cost overrun. There are many factors of different stakeholders influencing... Show More

In China, the expressways have been built a lot over the past decade. The construction of the expressway suffers from usual cost overrun. There are many factors of different stakeholders influencing the construction cost of expressways, and it is difficult to control all of them. Therefore, it is necessary to identify the key factors causing expressway construction cost overrun and take corresponding cost control measures. In this article, decision-making trial and evaluation laboratory (DEMATEL), interpretative structural modeling method (ISM) and system dynamics (SD) are integrated as DEMATEL-ISM-SD method to identify the key driving factors of expressway construction cost overrun and simulate the interactions of these factors to find the cost control measures. A case in China has been selected as an example to demonstrate how to use the proposed method. As a result, six key factors from different stakeholders are found. Then, six corresponding measures are put forward. This study can provide guidance for expressway construction cost control.

Green total factor productivity (GTFP) is a key metric in assessing the high-quality development of the economy. The authors investigate the configuration pathways by which GTFP can be enhanced. The... Show More

Green total factor productivity (GTFP) is a key metric in assessing the high-quality development of the economy. The authors investigate the configuration pathways by which GTFP can be enhanced. The researchers used data from 30 provinces and municipalities in China (excluding Tibet, Hong Kong, Macau, and Taiwan) as case studies. This study demonstrates that GTFP is influenced by six factors, such as regional innovation ability and digital financial development. These factors contribute to three configuration pathways for achieving high GTFP: innovation market-oriented, economic growth-oriented, and integrated synergistic pathways. Meanwhile, there is consistency and substitutability between some factors. The innovation of this paper lies in the introduction of the fuzzy set qualitative comparative analysis (fsQCA) method into the research on GTFP. It can enrich the theoretical research in the field of GTFP and provide valuable reference and pathway options for improving GTFP in China and other countries with similar economic development patterns.

It is difficult to choose an appropriate house for homebuyers. This is due to the difficulty of evaluating the multitude of factors, such as price, location, size, and so on. In order to help... Show More

It is difficult to choose an appropriate house for homebuyers. This is due to the difficulty of evaluating the multitude of factors, such as price, location, size, and so on. In order to help homebuyers in choosing an appropriate house, a method integrating the interval-valued Pythagorean FAHP and FTOPSIS is proposed. In the proposed approach, the evaluation criteria were determined by the experts, and the linguistic variables of interval-valued Pythagorean fuzzy numbers were used in the evaluations of the homebuyers and experts. A new distance between two IVPFNs is proposed. The weights of the evaluation criteria were determined by the interval-valued Pythagorean FAHP method by the homebuyers, and house selections were evaluated by interval-valued Pythagorean FTOPSIS method taking into account the new distance. Finally, a case study was executed to verify the feasibility of the proposed approach. The case study results reveal that the weights of criteria obtained by FAHP are not the same according to opinions of the different homebuyers.

The evaluation on the level of smart scenic spots is crucial in the planning and development of smart tourism destinations. However, existing evaluation approaches for smart scenic spots lack... Show More

The evaluation on the level of smart scenic spots is crucial in the planning and development of smart tourism destinations. However, existing evaluation approaches for smart scenic spots lack scientific rigor and practical applicability. To address this issue, this study proposes a comprehensive evaluation method that combines qualitative analysis and quantitative calculation to establish a weighted index system for assessing the level of smart scenic spots. The approach utilizes a fuzzy comprehensive evaluation model, integrating linear weighted comprehensive evaluation methods, fuzzy mathematics, and the concept of two-tuple. Moreover, the concept of level eigenvalue is introduced to facilitate the evaluation of smart scenic spots. The proposed two-tuple model and evaluation method demonstrate strong operability, applicability, and promotional potential, as evidenced through example calculations and analysis.