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Propositions on the correctness of the extensions are proved: (1) The As-IFPA (As-IFPG) operator for the fuzzy measure\u00a0\u2014 capacity of order two coincides with the Intuitionistic Fuzzy Choquet Averaging (Intuitionistic Fuzzy Choquet Geometric) operator; (2) The As-IFPA (As-IFPG) operator coincides with the Intuitionistic Fuzzy Probabilistic Averaging (Intuitionistic Fuzzy Probabilistic Geometric) operator when a probability measure is used in the role of a fuzzy measure. Connections between the constructed operators and the compositions of dual triangular norms [Formula: see text] and [Formula: see text] are constructed. The conjugate connections between the constructed operators are shown. Two illustrative examples on the applicability of the As-IFPA and As-IFPG operators are presented. Several variants of the new operators (1) for the decision-making problem regarding the fiscal policy of a country; (2) for the decision-making problem regarding the best global supplier selection according to the core competencies of suppliers for a manufacturing company are used. Interactions and dependencies among all the combinations of the criteria in the decision-making process are considered.<\/jats:p>","DOI":"10.1142\/s0219622016500449","type":"journal-article","created":{"date-parts":[[2016,9,23]],"date-time":"2016-09-23T08:16:41Z","timestamp":1474618601000},"page":"245-279","source":"Crossref","is-referenced-by-count":16,"title":["Intuitionistic Fuzzy Probabilistic Aggregation Operators Based on the Choquet Integral: Application in Multicriteria Decision-Making"],"prefix":"10.1142","volume":"16","author":[{"given":"Gia","family":"Sirbiladze","sequence":"first","affiliation":[{"name":"Department of Computer Sciences, Iv. 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