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Abstract Complex Hesitant Fuzzy sets are a powerful tool for depicting vagueness and uncertainty. This paper addresses to Bipolar-Valued Complex Hesitant Fuzzy sets (BVCHFSs) to decode inconsistent, complexity data because of including bipolarity being opposite polar, complexity dividing membership value into two parts, hesitation degree including several membership values. Then, we interpret some new rules such as addition, scalar multiplication, scalar power, multiplication, and present score function. Moreover, some aggregation operators based on BVCHFSs are presented, such as Bipolar-valued Complex Hesitant Fuzzy-Weighted Dombi Averaging operator (BVCHFWDA), Ordered and Hybrid concepts, and Bipolar valued Complex Hesitant Fuzzy-Weighted Dombi Geometric operator (BVCHFWDG), Ordered and Hybrid structures, and some properties, such as idempotency, monotonicity, and boundedness. Later on, the obtained operators are applied over an investment example to show originality and efficiency of suggested instructions. We test to merits and restrictions of the new instructions by comparing them with some existing measures based on bipolar complex fuzzy sets. The comparative analysis indicates that our discussed operators and distance measures over bipolar complex fuzzy sets are agreement especially for BVCHFWDA.
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