New Operations for Interval-valued Pythagorean Fuzzy Set

Peng, Xindong

doi:10.24200/sci.2018.5142.1119

Cited by 26 publications

(30 citation statements)

References 55 publications

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“…In the future, we will employ the outstanding WDBA method to dispose of the EDM issues under diverse fuzzy environment and take the idea of combined weight into gene selection …”

Section: Resultsmentioning

confidence: 99%

Generalized orthopair fuzzy weighted distance‐based approximation (WDBA) algorithm in emergency decision‐making

2019

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With the intensification of global warming trends, the frequent occurrence of natural disasters has brought severe challenges to the sustainable development of society. Emergency decision‐making (EDM) in natural disasters is playing an increasingly important role in improving disaster response capacity. In the case of EDM evaluation, the essential problem arises serious incompleteness, impreciseness, subjectivity, and incertitude. The q‐rung orthopair fuzzy set (q‐ROFS), disposing the indeterminacy portrayed by membership and nonmembership with the sum of qth power of them, is a more viable and effective means to seize indeterminacy. The aim of paper is to present a new score function of q‐rung orthopair fuzzy number (q‐ROFN) for solving the failure problems when comparing two q‐ROFNs. Firstly, we introduce some basic set operations for q‐ROFS. The properties of these operations are also discussed in detail. Later, we propose a q‐rung orthopair fuzzy decision‐making method based on weighted distance‐based approximation (WDBA), in which the weights of decision‐makers are obtained from a nonliner optimization model according to the deviation‐based method. Finally, some examples are investigated to illustrate the feasibility and validity of the proposed approach. The salient features of the proposed method, compared to the existing q‐rung orthopair fuzzy decision‐making methods, are as follows: (a) it can obtain the optimal alternative without counterintuitive phenomena and (b) it has a great power in distinguishing the optimal alternative.

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“…In the future, we will employ the outstanding WDBA method to dispose of the EDM issues under diverse fuzzy environment and take the idea of combined weight into gene selection …”

Section: Resultsmentioning

confidence: 99%

Generalized orthopair fuzzy weighted distance‐based approximation (WDBA) algorithm in emergency decision‐making

2019

Self Cite

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“…Apart from them, several authors have addressed the extensions of the PFSs such as interval-valued PFSs [42], hesitant PFS [43,44], and linguistic PFS [45] and applied them to solve the various DMPs under the different environments such as health [46] and site selection [47]. Furthermore, some other measures such as an accuracy function [37,38], operations [39], and improved score functions [40,41] are defined for PFS and interval-valued PFS. In the context of DMPs problems, a comparison between two or more objects is an important principle and thus for it, and a concept of SMs is useful.…”

Section: Introductionmentioning

confidence: 99%

Exponential similarity measures for Pythagorean fuzzy sets and their applications to pattern recognition and decision-making process

Nguyen

et al. 2019

Complex Intell. Syst.

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A Pythagorean fuzzy set is one of the successful extensions of the intuitionistic fuzzy set to handle the uncertain and fuzzy information in a more wider way. In this paper, some new exponential similarity measures (SMs) for measuring the similarities between objects are proposed. For it, we used the exponential function for the membership and the non-membership degrees and hence defined some series of the SMs for PFSs. The various desirable properties and their relations are examined. Several counter-intuitive cases are given to show the effectiveness of the proposed measures with the existing SMs. Furthermore, examples to classify the pattern recognition and the decision-making problems are presented and compared with the existing approaches.

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“…Besides, as this paper is just an applied research focusing on the similarity measures of q ‐ROFSs, we shall attempt to design some software to preferably realize the initiated information measure in daily life. Meanwhile, we also will take them into diverse fuzzy environment …”

Section: Resultsmentioning

confidence: 99%

Research on the assessment of classroom teaching quality with q ‐rung orthopair fuzzy information based on multiparametric similarity measure and combinative distance‐based assessment

2019

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The assessment of classroom teaching quality is critically important for producing a positive incentive and guidance role to improve service and management of universities, stimulating the enthusiasm of teachers, enhancing the teacher’s teaching ability, and improving the quality of talent training. In considering the case of teaching quality evaluation, the essential question that arises concerns strong ambiguity, fuzziness, and inexactness. The q‐rung orthopair fuzzy sets ( q‐ROFSs) dealing the indeterminacy characterized by membership degrees and nonmembership degrees are a more flexible and effective way to capture indeterminacy. In this paper, firstly, the new score function for q‐rung orthopair fuzzy number is initiated for tackling the comparison problem. Subsequently, a new distance measure for q‐ROFSs with multiple parameters is studied along with their detailed proofs. The various desirable properties among the developed similarity measures and distance measures have also been derived. Then, the objective weights of various attributes are determined via antientropy weighting method. Also, we develop the combined weights, which can reveal both the subjective information and the objective information. Moreover, two algorithms to solve q‐rung orthopair fuzzy decision‐making problem by combinative distance‐based assessment and multiparametric similarity measure are presented. Later, the feasibility of approaches is demonstrated by a classroom teaching quality problem, along with the effect of the different parameters on the ordering. Finally, a comparison between the proposed and the existing decision‐making methods has been performed for showing their effectiveness. The salient features of the proposed methods, compared to the existing q‐ROFS decision‐making methods, are as follows: (a) it can obtain the optimal alternative without counterintuitive phenomena and (b) it has a lower computational complexity.

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New Operations for Interval-valued Pythagorean Fuzzy Set

Cited by 26 publications

References 55 publications

Generalized orthopair fuzzy weighted distance‐based approximation (WDBA) algorithm in emergency decision‐making

Generalized orthopair fuzzy weighted distance‐based approximation (WDBA) algorithm in emergency decision‐making

Exponential similarity measures for Pythagorean fuzzy sets and their applications to pattern recognition and decision-making process

Research on the assessment of classroom teaching quality with q ‐rung orthopair fuzzy information based on multiparametric similarity measure and combinative distance‐based assessment

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