A Multimodal Retrieval and Ranking Method for Scientific Documents Based on HFS and XLNet

Algorithm 1

Mathematical expression similarity calculation.

	Input: a LaTeX form of the recognized mathematical expression
	Output: a set of mathematical expressions similar to
(1)	//Initialize the feature vector database
(2)	//parsed by FDS
(3)
(4)	while () do
(5)	for in :
(6)	//Structural attribute membership value
(7)	//Operator and operand attribute membership values
(8)	//Hesitant fuzzy set of
(9)	//The similarity between expressions and is transformed into the similarity between the hesitant fuzzy set and
(10)	Add to table simexp
(11)	end for
(12)	end while
(13)	return simexp
(14)	END