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Bidirectional project method for dual hesitant Pythagorean fuzzy multiple attribute decision‐making and their application to performance assessment of new rural construction
Author(s) -
Lu Jianping,
Tang Xiyue,
Wei Guiwu,
Wei Cun,
Wei Yu
Publication year - 2019
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22126
Subject(s) - pythagorean theorem , ranking (information retrieval) , computer science , dual (grammatical number) , decision matrix , measure (data warehouse) , projection (relational algebra) , fuzzy logic , matrix (chemical analysis) , score , set (abstract data type) , function (biology) , mathematical optimization , ideal solution , data mining , artificial intelligence , mathematics , operations research , machine learning , algorithm , art , geometry , literature , materials science , physics , evolutionary biology , biology , composite material , programming language , thermodynamics
The dual hesitant Pythagorean fuzzy set (DHPFS) consists of two parts, that is, the membership hesitancy function and the nonmembership hesitancy function, supporting a more exemplary and flexible access to assign values for each element in the domain. It is very suitable to handle the situation that there are various possible values in membership and nonmembership degrees to depict the true circumstance. The bidirectional project method of DHPFS calculates method considered not only the bidirectional projection magnitudes and the distance but also includes angle between objects evaluated. Therefore, this paper proposes a bidirectional project method of DHPFS to handle the multiple attribute decision‐making (MADM) problem under the dual hesitant Pythagorean fuzzy environment. Through the measure between each alternative decision matrix and the positive and negative ideal alternative matrix, the ranking order all alternatives can be used to select the best alternative. Furthermore, a model for MADM has been given. Finally, a numerical example for performance assessment of new rural construction has been given to demonstrate the application of bidirectional project method of DHPFS, and we used the dual hesitant Pythagorean weighted Bonferroni mean to compare its reasonable and effectiveness.