2017
DOI: 10.1371/journal.pone.0183570
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Integrating Triangle and Jaccard similarities for recommendation

Abstract: This paper proposes a new measure for recommendation through integrating Triangle and Jaccard similarities. The Triangle similarity considers both the length and the angle of rating vectors between them, while the Jaccard similarity considers non co-rating users. We compare the new similarity measure with eight state-of-the-art ones on four popular datasets under the leave-one-out scenario. Results show that the new measure outperforms all the counterparts in terms of the mean absolute error and the root mean … Show more

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Cited by 61 publications
(48 citation statements)
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“…The preference model is obtained by maximum likehood estimation. On a recent work, Sun et al proposed a new similarity measure of Triangle Multiplying Jaccard (TMJ) in [ 38 ], which combines triangle similarity and Jaccard similarly to improve recommendation accuracy. The TMJ is defined in Eq (8) .…”
Section: Related Workmentioning
confidence: 99%
“…The preference model is obtained by maximum likehood estimation. On a recent work, Sun et al proposed a new similarity measure of Triangle Multiplying Jaccard (TMJ) in [ 38 ], which combines triangle similarity and Jaccard similarly to improve recommendation accuracy. The TMJ is defined in Eq (8) .…”
Section: Related Workmentioning
confidence: 99%
“…As shown in the Definitions 2, which shows the existence of a and b in a vector space E, which is expressed in v or a ∩ b> 0. Similarly, the measurement of the Jaccard coefficient [3], dice coefficient [37], and cosine similarity that conceptually a measure involving the same vector, ie a, b, a ∩ b≠∈E [11]. Based on the implementation can be formulated as follows: The results of theorems 1,2 and 3 can be seen in figure 4.…”
Section: Description Framework Researchmentioning
confidence: 99%
“…Several similarity improvements are continuously being developed to increase the recommendations' accuracy. Among them are Bhattacharyya's similarity [16], the multi-level collaborative filtering similarity [27], the TMJ similarity [28], and the similarity integrating three impact factors, namely S 1 , S 2 , dan S 3 [2]. These four similarity algorithms only consider user rating value data explicitly to calculate the similarity between users.…”
Section: Similarity Algorithmmentioning
confidence: 99%
“…Their proposed similarity is an increase in the PCC similarity by taking into account the number of items co-rated on several levels. Sun et al [28] proposed a similarity algorithm by integrating the similarity of Triangle and Jaccard, known as TMJ similarity. Feng et al [2] proposed a new similarity algorithm by integrating three factors of similarity impact, namely S 1 ,S 2 , and S 3 .…”
Section: Introductionmentioning
confidence: 99%