## 1 Introduction  
[PERSON] [1] introduced the notion Intuitionistic Fuzzy Set (IFS), which generalizes the notion of Fuzzy Set proposed by [PERSON] [2]. Based on the fact that IFS is appropriate for cases dealing with uncertainty and vagueness, many authors have applied them to decision making. In the case of multiple attribute decision making the operational laws of Intuitionistic Fuzzy Values (IFVs) propose an elementary and remarkable topic. [PERSON] [1, 3] introduced the basic operational laws and presented some of their properties. [PERSON] et al. [4] developed some operations by using additive generators of the product t-norm. [PERSON] and [PERSON] [5] proposed the intuitionistic fuzzy Einstein hybrid aggregation operators. [PERSON], [PERSON] and [PERSON] [6] contributed to the case of multi-criteria group decision making, with the attributes being intuitionistic fuzzy numbers and the corresponding weights being crisp numerical values; their method is applied in the context of public relations and mass communication. [PERSON] and [PERSON] [7] proposed the score function and the weighted score function methods. [PERSON] and [PERSON] [8] proposed a model for intuitionistic fuzzy multi- attributes decision making that deals with the degrees of membership and nonmembership individually that is applied in multiple criteria supplier selection problems. [PERSON] et al. [9] gave an intuitionistic fuzzy copula arithmetic aggregation operator in multi-attribute decision making. [PERSON] and [PERSON] [10], extended power Bonferroni mean to interval-valued intuitionistic fuzzy numbers and applied it to multiple attribute group decision making in the evaluation of air quality. [PERSON] and [PERSON] [11], introduced intuitionistic fuzzy Dombi weighted averaging operator, intuitionistic fuzzy Dombi weighted geometric operator, intuitionistic fuzzy Dombi ordered weighted geometric operator and intuitionistic fuzzy Dombi hybrid geometric operator. [PERSON], [PERSON] and [PERSON] [12], introduced an intuitionistic fuzzy linguistic-induced generalized ordered weighted averaging operator and made an application about taking targeted measures in poverty alleviation (TPA). [PERSON], [PERSON] and [PERSON] [13], introduced the intuitionistic fuzzy power geometric Heronian mean operator and the weighted intuitionistic fuzzy power geometric Heronian mean operator. [PERSON], [PERSON] and [PERSON] [14], introduced the improved intuitionistic fuzzy weighted geometric operator of intuitionistic fuzzy values. For further contributions, references are provided [15; 16; 17; 18; 19; 20; 21; 22]. [PERSON] [23] states that copulas and t-norms often coincide. [PERSON] [24] and [PERSON] et al. [25] contributed to the introduction and application of copulas. [PERSON] et al. [26], has set copulas as conjunctive functions. In addition, the selection of the most suitable conjunctive function and how to fit additive generators for Archimedean t-norms and Archimedean copulas is depicted in [PERSON] [23]. The present paper aims to investigate the intuitionistic fuzzy copula aggregation operators, with the combination of fuzzy negations, in order to develop multiple attribute decision making methods for IFVs. To accomplish that, the construction of novel operations for IFVs is essential. As a result, the combination of copulas and fuzzy negations [27] produces new operations, which allow us to construct novel intuitionistic fuzzy Archimedean copula weighted arithmetic and geometric aggregation operations with the usage of arithmetic and geometric means. As a result, the remainder of the paper is organized as follows. Section 2 includes some basic concepts of copula theory, fuzzy negations and intuitionistic fuzzy sets and also our development on novel operations for IFVs with the combination of the above. The properties of the proposed operations are investigated. In Section 3 we provide the new intuitionistic fuzzy Archimedean copula weighted arithmetic and geometric aggregation operators, including a further analysis of their properties.