Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modus ponens and modus tollens for the compositional rule of inference
  with aggregation functions   The compositional rule of inference (CRI) proposed by Zadeh has been widely
applied in artificial intelligence, control, data mining, image processing,
decision making and so on. Recently, Li and Zeng [Li, D., Zeng, Q. Approximate
reasoning with aggregation functions satisfying GMP rules, Artificial
Intelligence Review (2022), https://doi.org/10.1007/s10462-022-10136-1] shown
an A-compositional rule of inference (ACRI) method in which generalizes the
t-norm to any aggregation function in CRI method and studied its validity using
GMP rules. In this paper, we continue to investigate the validity of ACRI
method from a logical view and an interpolative view. Specifically, to discuss
the modus ponens (MP) and modus tollens (MT) properties of ACRI method based on
well-known fuzzy implications with aggregation functions.

23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph