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Information Retrieval & Web Search Engines Lecture 3

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Information Retrieval &

Web Search Engines

Lecture 3

Please note: The exercises will be neither collected, nor corrected, or graded.

Even though the homework assignments are optional, you are encouraged to answer them and to discuss them in small groups, as they will help you prepare for your final exam.

Given is the following subset of documents from a document collection:

𝐷1 = {𝑑1, 𝑑5, 𝑑9} 𝐷4 = {𝑑4, 𝑑5, 𝑑10} 𝐷2 = {𝑑1, 𝑑2, 𝑑4, 𝑑5, 𝑑9} 𝐷5 = {𝑑3, 𝑑5, 𝑑6, 𝑑7} 𝐷3 = {𝑑3, 𝑑6, 𝑑7, 𝑑8} 𝐷6 = {𝑑1, 𝑑2, 𝑑10} and the following queries:

π‘ž1 = (𝑑1 π‘œπ‘Ÿ 𝑑5) 𝑏𝑒𝑑 π‘›π‘œπ‘‘ (𝑑3 π‘œπ‘Ÿ 𝑑2) π‘ž2 = (𝑑1 π‘Žπ‘›π‘‘ 𝑑5) π‘œπ‘Ÿ (𝑑3 π‘Žπ‘›π‘‘ 𝑑2)

1. (Fuzzy Logic Model)

Given the following fuzzy weights for 𝐷1 = {𝑑1/0.4, 𝑑2/0.8, 𝑑3/0.8, 𝑑5/0.2, 𝑑8/0.9, 𝑑9/0.6, } a. Compute the relevance of document 𝐷1 to both queries π‘ž1 and π‘ž2

b. What is the motivation behind using fuzzy weights?

c. Assuming the following journal collection: 𝐷1, 𝐷4 and 𝐷6 = {𝑑5, 𝑑9} constitute an entire document collection, compute the fuzzy membership degree for the collection’s terms with respect to 𝐷1.

2. (Coordination Level Matching)

a. Given the following query: π‘ž = {𝑑1, 𝑑2, 𝑑4} on the document collection defined in 1.c re- turn level-based matching of these documents for π‘ž.

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