Distance Measures between the Interval-Valued Complex Fuzzy Sets

Since application of integrated energy systems (IESs) has formed a markedly increasing trend recently, selecting an appropriate integrated energy system construction scheme becomes essential to the energy supplier. This paper aims to develop a multi-criteria decision-making model for the evaluation and selection of an IES construction scheme equipped with smart energy management and control platform. Firstly, a comprehensive evaluation criteria system including economy, energy, environment, technology and service is established. The evaluation criteria system is divided into quantitative criteria denoted by interval numbers and qualitative criteria. Secondly, single-valued neutrosophic numbers are adopted to denote the qualitative criteria in the evaluation criteria system. Thirdly, in order to accommodate mixed data types consisting of both interval numbers and single-valued neutrosophic numbers, the TOPSIS (Technique for Order Preference by Similarity to an Ideal Solution) method is extended into a three-stage technique by introducing a fusion coefficient μ. Then, a real case in China is evaluated through applying the proposed method. Furthermore, a comprehensive discussion is made to analyze the evaluation result and verify the reliability and stability of the method. In short, this study provides a useful tool for the energy supplier to evaluate and select a preferred IES construction scheme.

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“…The normalized weighted Euclidean distance between two SVNSs A and B can be defined as follows [45,46]:…”

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confidence: 99%

Evaluation and Selection of Integrated Energy System Construction Scheme Equipped with Smart Energy Management and Control Platform Using Single-Valued Neutrosophic Numbers

et al. 2021

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“…Some basic concepts are recalled below, whereas for other concepts, refer to reports from Ref. [27,28,41,42,47].…”

Section: Preliminariesmentioning

confidence: 99%

Interval-Valued Complex Fuzzy Geometric Aggregation Operators and Their Application to Decision Making

Dai

2020

Mathematical Problems in Engineering

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This paper investigates the geometric aggregation operators for aggregating the interval-valued complex fuzzy sets (IVCFSs) whose membership grades are a special set of complex numbers. We develop some geometric aggregation operators under the interval-valued complex fuzzy environment, namely, interval-valued complex fuzzy geometric (IVCFG), interval-valued complex fuzzy weighted geometric (IVCFWG), and interval-valued complex fuzzy ordered weighted geometric (IVCFOWG) operators. Then, we investigate the rotational and reflectional invariances of these operators. Further, a decision-making approach based on these operators is presented under the interval-valued complex fuzzy environment and an example is illustrated to demonstrate the efficiency of the proposed approach.

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“…Ngan et al 47 presented a new CIFS representation using quaternion numbers and developed a distance measure. Dai et al 48 proposed distance measures under intervalvalued CFS environment and gave their application in DM problems. Garg and Rani 49 presented a novel compensative logarithm operator for CIFSs to solve the group decision-making problems.…”

Section: Introductionmentioning

confidence: 99%

Complex intuitionistic fuzzy preference relations and their applications in individual and group decision‐making problems

Rani

Garg

2021

Int J Intell Syst

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This paper aspires to present single and group decisionmaking methods based on complex intuitionistic fuzzy (CIF) preference relations (CIFPRs). The presented work is divided into three folds. The first fold is that the concept of CIFPRs is introduced in this study in which the pairwise comparison values are represented using CIF numbers which have the characteristic of portraying membership and nonmembership degrees over the unit disc of the complex plane. The conditions for additive consistent CIFPR are defined and the related results are explored. In addition, an algorithm for rectifying inconsistent CIFPR is also developed. The second fold is that two goal programming models are established for generating CIF normalized priority weights corresponding to individual and group decision-making problems. The third fold is to develop the algorithms for handling individual and group decision-making problems with CIFPRs. The practicality of the proposed algorithms is shown by applying them to real-life decision-making problems. The results of the presented methods are compared with several existing studies.

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Distance Measures between the Interval-Valued Complex Fuzzy Sets

Cited by 51 publications

References 39 publications

Evaluation and Selection of Integrated Energy System Construction Scheme Equipped with Smart Energy Management and Control Platform Using Single-Valued Neutrosophic Numbers

Evaluation and Selection of Integrated Energy System Construction Scheme Equipped with Smart Energy Management and Control Platform Using Single-Valued Neutrosophic Numbers

Interval-Valued Complex Fuzzy Geometric Aggregation Operators and Their Application to Decision Making

Complex intuitionistic fuzzy preference relations and their applications in individual and group decision‐making problems

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