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The interval-valued Pythagorean fuzzy (IVPF) sets, describing the membership and nonmembership degrees from interval values, can address uncertain information, while the normal fuzzy number (NFN) can depict normal distribution information in anthropogenic activity and natural environment. By combining the advantages of both operations, in this study, we proposed the interval-valued Pythagorean normal fuzzy (IVPNF) sets by introducing the NFN into IVPF environment. Firstly, we defined thedoi:10.1109/access.2020.2978976 fatcat:holgie2xnrcwrp7pgvn65yqyey