{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T04:50:29Z","timestamp":1777697429579,"version":"3.51.4"},"reference-count":17,"publisher":"SAGE Publications","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IDT"],"published-print":{"date-parts":[[2022,4,18]]},"abstract":"<jats:p>Advances in multiple attribute decision making (MADM) require the development of information aggregation operations flexible enough to deal with neutrosophic Z-number (NZN) information. In this situation, new operations of NZNs are needed to aggregate NZNs with different values of operational parameter and to realize the MADM flexibility. Motivated by the Dombi operations, this study proposes the Dombi operations and some Dombi weighted aggregation operators of NZNs to solve a gap of flexible MADM in the setting of NZNs. Thus, the main aims of this article are (i) to propose several Dombi operations of NZNs, (ii) to present the NZN Dombi weighted arithmetic averaging (NZNDWAA) and NZN Dombi weighted geometric averaging (NZNDWGA) operators for aggregating NZN information and their properties, (iii) to establish a MADM approach based on the NZNDWAA and NZNDWGA operators for solving MADM problems under the environment of NZNs, and (iv) to give a MADM example and related comparative analysis on the issue of equipment supplier selection for indicating the applicability and efficiency of the developed MADM approach. However, the proposed MADM approach is more flexible for the selection of decision makers\u2019 preferences and the actual requirements in MADM applications.<\/jats:p>","DOI":"10.3233\/idt-200191","type":"journal-article","created":{"date-parts":[[2022,3,15]],"date-time":"2022-03-15T12:09:30Z","timestamp":1647346170000},"page":"9-21","source":"Crossref","is-referenced-by-count":1,"title":["Dombi weighted aggregation operators of neutrosophic Z-numbers for multiple attribute decision making in equipment supplier selection"],"prefix":"10.1177","volume":"16","author":[{"given":"Jun","family":"Ye","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shigui","family":"Du","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rui","family":"Yong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"key":"10.3233\/IDT-200191_ref1","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/0165-0114(82)90005-7","article-title":"A general class of fuzzy operators, the De Morgan class of fuzzy operators and fuzziness measures induced by fuzzy operators","volume":"8","author":"Dombi","year":"1982","journal-title":"Fuzzy Sets and Systems"},{"issue":"1","key":"10.3233\/IDT-200191_ref2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1057\/s41274-017-0190-y","article-title":"Some intuitionistic fuzzy Dombi Bonferonni operators and their application to multi-attribute group decision-making","volume":"69","author":"Liu","year":"2018","journal-title":"J Oper Res Soc."},{"issue":"12","key":"10.3233\/IDT-200191_ref3","doi-asserted-by":"publisher","first-page":"294","DOI":"10.3390\/math6120294","article-title":"Some interval-valued intuitionistic fuzzy Dombi Hamy mean operators and their application for evaluating the elderly tourism service quality in tourism destination","volume":"6","author":"Wu","year":"2018","journal-title":"Mathematics"},{"issue":"6","key":"10.3233\/IDT-200191_ref4","doi-asserted-by":"publisher","first-page":"82","DOI":"10.3390\/sym9060082","article-title":"Some single-valued neutrosophic Dombi weighted aggregation operators for multiple attribute decision-making","volume":"9","author":"Chen","year":"2017","journal-title":"Symmetry"},{"issue":"14","key":"10.3233\/IDT-200191_ref5","doi-asserted-by":"crossref","first-page":"2923","DOI":"10.1016\/j.ins.2011.02.022","article-title":"A note on z-numbers","volume":"181","author":"Zadeh","year":"2011","journal-title":"Inf. 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