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The connections and differences among three categories of interaction indices are also investigated and compared theoretically and empirically. It is shown that three types of interaction indices have the same roots in their first and second orders, but meanwhile the nonmodularity indices have involved less amount of subsets and can be adopted to describe the interaction phenomenon in decision analysis.<\/jats:p>","DOI":"10.3233\/jifs-201583","type":"journal-article","created":{"date-parts":[[2021,3,30]],"date-time":"2021-03-30T14:37:53Z","timestamp":1617115073000},"page":"10671-10685","source":"Crossref","is-referenced-by-count":1,"title":["Comprehensive nonmodularity and interaction indices for decision analysis"],"prefix":"10.1177","volume":"40","author":[{"given":"Jian-Zhang","family":"Wu","sequence":"first","affiliation":[{"name":"Business School, Ningbo University, Ningbo, China"},{"name":"School of Information Technology, Deakin University, Burwood, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gleb","family":"Beliakov","sequence":"additional","affiliation":[{"name":"School of Information Technology, Deakin University, Burwood, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-201583_ref1","first-page":"317","article-title":"Weighted voting doesn\u2019t work: A mathematical analysis","volume":"19","author":"Banzhaf III","year":"1964","journal-title":"Rutgers L. 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