Document (#12187)

Author

Marzano, G.

Title

Introduzione alla teoria degli insiemi fuzzy

Source

L'Indicizzazione. 2(1992) no.2, S.33-58

Year

1992

Abstract

Presents the basic ideas underlying fuzzy set theory, developed by Zadeh in the 1960s, which has important appplications in information retrieval and documentation. A fuzzy information retrieval system is much less restrictive that a Boolean model, since results can be arranged according to degree of similarity. Another application of the theory concerns the use of linguistic quantifiers; this type of solution is well adapted to retrieval systems designed for direct operation by end-users. Illustraes with examples fuzzy set algebra, operation, relationships, logic and reasoning

Footnote

An introduction to fuzzy set theory

Similar documents (content)

1. Bordogna, G.; Pasi, G.: ¬A fuzzy linguistic approach generalizing Boolean information retrieval : a model and its evaluation (1993) 0.23

   0.23401733 = sum of:
     0.23401733 = product of:
       0.9750722 = sum of:
         0.07202337 = weight(abstract_txt:degree in 2569) [ClassicSimilarity], result of:
           0.07202337 = score(doc=2569,freq=1.0), product of:
             0.10181752 = queryWeight, product of:
               1.071088 = boost
               5.659016 = idf(docFreq=418, maxDocs=44218)
               0.016797956 = queryNorm
             0.707377 = fieldWeight in 2569, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.659016 = idf(docFreq=418, maxDocs=44218)
               0.125 = fieldNorm(doc=2569)
         0.1110713 = weight(abstract_txt:linguistic in 2569) [ClassicSimilarity], result of:
           0.1110713 = score(doc=2569,freq=2.0), product of:
             0.107869364 = queryWeight, product of:
               1.1024603 = boost
               5.8247695 = idf(docFreq=354, maxDocs=44218)
               0.016797956 = queryNorm
             1.0296835 = fieldWeight in 2569, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               5.8247695 = idf(docFreq=354, maxDocs=44218)
               0.125 = fieldNorm(doc=2569)
         0.13722616 = weight(abstract_txt:boolean in 2569) [ClassicSimilarity], result of:
           0.13722616 = score(doc=2569,freq=2.0), product of:
             0.12419997 = queryWeight, product of:
               1.1829724 = boost
               6.2501497 = idf(docFreq=231, maxDocs=44218)
               0.016797956 = queryNorm
             1.1048808 = fieldWeight in 2569, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               6.2501497 = idf(docFreq=231, maxDocs=44218)
               0.125 = fieldNorm(doc=2569)
         0.07418424 = weight(abstract_txt:theory in 2569) [ClassicSimilarity], result of:
           0.07418424 = score(doc=2569,freq=1.0), product of:
             0.1308352 = queryWeight, product of:
               1.7170826 = boost
               4.5360413 = idf(docFreq=1287, maxDocs=44218)
               0.016797956 = queryNorm
             0.56700516 = fieldWeight in 2569, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.5360413 = idf(docFreq=1287, maxDocs=44218)
               0.125 = fieldNorm(doc=2569)
         0.07076256 = weight(abstract_txt:retrieval in 2569) [ClassicSimilarity], result of:
           0.07076256 = score(doc=2569,freq=2.0), product of:
             0.11518776 = queryWeight, product of:
               1.9732298 = boost
               3.4751394 = idf(docFreq=3720, maxDocs=44218)
               0.016797956 = queryNorm
             0.6143236 = fieldWeight in 2569, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               3.4751394 = idf(docFreq=3720, maxDocs=44218)
               0.125 = fieldNorm(doc=2569)
         0.50980455 = weight(abstract_txt:fuzzy in 2569) [ClassicSimilarity], result of:
           0.50980455 = score(doc=2569,freq=1.0), product of:
             0.59583956 = queryWeight, product of:
               5.1821327 = boost
               6.8448567 = idf(docFreq=127, maxDocs=44218)
               0.016797956 = queryNorm
             0.8556071 = fieldWeight in 2569, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.8448567 = idf(docFreq=127, maxDocs=44218)
               0.125 = fieldNorm(doc=2569)
       0.24 = coord(6/25)
   

2. Turunen, E.: Mathematics behind fuzzy logic (1999) 0.19

   0.19242862 = sum of:
     0.19242862 = product of:
       1.2026789 = sum of:
         0.13638164 = weight(abstract_txt:logic in 3924) [ClassicSimilarity], result of:
           0.13638164 = score(doc=3924,freq=2.0), product of:
             0.123689875 = queryWeight, product of:
               1.1805407 = boost
               6.237302 = idf(docFreq=234, maxDocs=44218)
               0.016797956 = queryNorm
             1.1026096 = fieldWeight in 3924, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               6.237302 = idf(docFreq=234, maxDocs=44218)
               0.125 = fieldNorm(doc=3924)
         0.10314802 = weight(abstract_txt:reasoning in 3924) [ClassicSimilarity], result of:
           0.10314802 = score(doc=3924,freq=1.0), product of:
             0.1293642 = queryWeight, product of:
               1.2073159 = boost
               6.378767 = idf(docFreq=203, maxDocs=44218)
               0.016797956 = queryNorm
             0.7973459 = fieldWeight in 3924, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.378767 = idf(docFreq=203, maxDocs=44218)
               0.125 = fieldNorm(doc=3924)
         0.24217683 = weight(abstract_txt:algebra in 3924) [ClassicSimilarity], result of:
           0.24217683 = score(doc=3924,freq=1.0), product of:
             0.2285223 = queryWeight, product of:
               1.604642 = boost
               8.478011 = idf(docFreq=24, maxDocs=44218)
               0.016797956 = queryNorm
             1.0597514 = fieldWeight in 3924, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               8.478011 = idf(docFreq=24, maxDocs=44218)
               0.125 = fieldNorm(doc=3924)
         0.7209725 = weight(abstract_txt:fuzzy in 3924) [ClassicSimilarity], result of:
           0.7209725 = score(doc=3924,freq=2.0), product of:
             0.59583956 = queryWeight, product of:
               5.1821327 = boost
               6.8448567 = idf(docFreq=127, maxDocs=44218)
               0.016797956 = queryNorm
             1.2100111 = fieldWeight in 3924, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               6.8448567 = idf(docFreq=127, maxDocs=44218)
               0.125 = fieldNorm(doc=3924)
       0.16 = coord(4/25)
   

3. Fuzziness in database management systems (1995) 0.18

   0.18481101 = sum of:
     0.18481101 = product of:
       1.1550689 = sum of:
         0.102286234 = weight(abstract_txt:logic in 2123) [ClassicSimilarity], result of:
           0.102286234 = score(doc=2123,freq=2.0), product of:
             0.123689875 = queryWeight, product of:
               1.1805407 = boost
               6.237302 = idf(docFreq=234, maxDocs=44218)
               0.016797956 = queryNorm
             0.8269572 = fieldWeight in 2123, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               6.237302 = idf(docFreq=234, maxDocs=44218)
               0.09375 = fieldNorm(doc=2123)
         0.07868426 = weight(abstract_txt:theory in 2123) [ClassicSimilarity], result of:
           0.07868426 = score(doc=2123,freq=2.0), product of:
             0.1308352 = queryWeight, product of:
               1.7170826 = boost
               4.5360413 = idf(docFreq=1287, maxDocs=44218)
               0.016797956 = queryNorm
             0.6013998 = fieldWeight in 2123, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               4.5360413 = idf(docFreq=1287, maxDocs=44218)
               0.09375 = fieldNorm(doc=2123)
         0.037527516 = weight(abstract_txt:retrieval in 2123) [ClassicSimilarity], result of:
           0.037527516 = score(doc=2123,freq=1.0), product of:
             0.11518776 = queryWeight, product of:
               1.9732298 = boost
               3.4751394 = idf(docFreq=3720, maxDocs=44218)
               0.016797956 = queryNorm
             0.3257943 = fieldWeight in 2123, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.4751394 = idf(docFreq=3720, maxDocs=44218)
               0.09375 = fieldNorm(doc=2123)
         0.9365708 = weight(abstract_txt:fuzzy in 2123) [ClassicSimilarity], result of:
           0.9365708 = score(doc=2123,freq=6.0), product of:
             0.59583956 = queryWeight, product of:
               5.1821327 = boost
               6.8448567 = idf(docFreq=127, maxDocs=44218)
               0.016797956 = queryNorm
             1.5718507 = fieldWeight in 2123, product of:
               2.4494898 = tf(freq=6.0), with freq of:
                 6.0 = termFreq=6.0
               6.8448567 = idf(docFreq=127, maxDocs=44218)
               0.09375 = fieldNorm(doc=2123)
       0.16 = coord(4/25)
   

4. Quast, D.: Neural fuzzy networks reasoning with uncertainty : what can knowledge- and information retrieval engineers learn from brain research? (1995) 0.17

   0.17261873 = sum of:
     0.17261873 = product of:
       0.8630937 = sum of:
         0.04380443 = weight(abstract_txt:ideas in 3213) [ClassicSimilarity], result of:
           0.04380443 = score(doc=3213,freq=1.0), product of:
             0.09998439 = queryWeight, product of:
               1.0614022 = boost
               5.6078424 = idf(docFreq=440, maxDocs=44218)
               0.016797956 = queryNorm
             0.43811268 = fieldWeight in 3213, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.6078424 = idf(docFreq=440, maxDocs=44218)
               0.078125 = fieldNorm(doc=3213)
         0.10439545 = weight(abstract_txt:logic in 3213) [ClassicSimilarity], result of:
           0.10439545 = score(doc=3213,freq=3.0), product of:
             0.123689875 = queryWeight, product of:
               1.1805407 = boost
               6.237302 = idf(docFreq=234, maxDocs=44218)
               0.016797956 = queryNorm
             0.84400964 = fieldWeight in 3213, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               6.237302 = idf(docFreq=234, maxDocs=44218)
               0.078125 = fieldNorm(doc=3213)
         0.04636515 = weight(abstract_txt:theory in 3213) [ClassicSimilarity], result of:
           0.04636515 = score(doc=3213,freq=1.0), product of:
             0.1308352 = queryWeight, product of:
               1.7170826 = boost
               4.5360413 = idf(docFreq=1287, maxDocs=44218)
               0.016797956 = queryNorm
             0.35437822 = fieldWeight in 3213, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.5360413 = idf(docFreq=1287, maxDocs=44218)
               0.078125 = fieldNorm(doc=3213)
         0.03127293 = weight(abstract_txt:retrieval in 3213) [ClassicSimilarity], result of:
           0.03127293 = score(doc=3213,freq=1.0), product of:
             0.11518776 = queryWeight, product of:
               1.9732298 = boost
               3.4751394 = idf(docFreq=3720, maxDocs=44218)
               0.016797956 = queryNorm
             0.27149525 = fieldWeight in 3213, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.4751394 = idf(docFreq=3720, maxDocs=44218)
               0.078125 = fieldNorm(doc=3213)
         0.6372557 = weight(abstract_txt:fuzzy in 3213) [ClassicSimilarity], result of:
           0.6372557 = score(doc=3213,freq=4.0), product of:
             0.59583956 = queryWeight, product of:
               5.1821327 = boost
               6.8448567 = idf(docFreq=127, maxDocs=44218)
               0.016797956 = queryNorm
             1.0695089 = fieldWeight in 3213, product of:
               2.0 = tf(freq=4.0), with freq of:
                 4.0 = termFreq=4.0
               6.8448567 = idf(docFreq=127, maxDocs=44218)
               0.078125 = fieldNorm(doc=3213)
       0.2 = coord(5/25)
   

5. Wong, S.K.M.: On modelling information retrieval with probabilistic inference (1995) 0.16

   0.16358651 = sum of:
     0.16358651 = product of:
       0.68161047 = sum of:
         0.05256532 = weight(abstract_txt:ideas in 1938) [ClassicSimilarity], result of:
           0.05256532 = score(doc=1938,freq=1.0), product of:
             0.09998439 = queryWeight, product of:
               1.0614022 = boost
               5.6078424 = idf(docFreq=440, maxDocs=44218)
               0.016797956 = queryNorm
             0.52573526 = fieldWeight in 1938, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.6078424 = idf(docFreq=440, maxDocs=44218)
               0.09375 = fieldNorm(doc=1938)
         0.053278837 = weight(abstract_txt:underlying in 1938) [ClassicSimilarity], result of:
           0.053278837 = score(doc=1938,freq=1.0), product of:
             0.10088715 = queryWeight, product of:
               1.0661831 = boost
               5.633102 = idf(docFreq=429, maxDocs=44218)
               0.016797956 = queryNorm
             0.5281033 = fieldWeight in 1938, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.633102 = idf(docFreq=429, maxDocs=44218)
               0.09375 = fieldNorm(doc=1938)
         0.07277517 = weight(abstract_txt:boolean in 1938) [ClassicSimilarity], result of:
           0.07277517 = score(doc=1938,freq=1.0), product of:
             0.12419997 = queryWeight, product of:
               1.1829724 = boost
               6.2501497 = idf(docFreq=231, maxDocs=44218)
               0.016797956 = queryNorm
             0.58595157 = fieldWeight in 1938, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.2501497 = idf(docFreq=231, maxDocs=44218)
               0.09375 = fieldNorm(doc=1938)
         0.055638175 = weight(abstract_txt:theory in 1938) [ClassicSimilarity], result of:
           0.055638175 = score(doc=1938,freq=1.0), product of:
             0.1308352 = queryWeight, product of:
               1.7170826 = boost
               4.5360413 = idf(docFreq=1287, maxDocs=44218)
               0.016797956 = queryNorm
             0.42525387 = fieldWeight in 1938, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.5360413 = idf(docFreq=1287, maxDocs=44218)
               0.09375 = fieldNorm(doc=1938)
         0.064999565 = weight(abstract_txt:retrieval in 1938) [ClassicSimilarity], result of:
           0.064999565 = score(doc=1938,freq=3.0), product of:
             0.11518776 = queryWeight, product of:
               1.9732298 = boost
               3.4751394 = idf(docFreq=3720, maxDocs=44218)
               0.016797956 = queryNorm
             0.5642923 = fieldWeight in 1938, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               3.4751394 = idf(docFreq=3720, maxDocs=44218)
               0.09375 = fieldNorm(doc=1938)
         0.38235343 = weight(abstract_txt:fuzzy in 1938) [ClassicSimilarity], result of:
           0.38235343 = score(doc=1938,freq=1.0), product of:
             0.59583956 = queryWeight, product of:
               5.1821327 = boost
               6.8448567 = idf(docFreq=127, maxDocs=44218)
               0.016797956 = queryNorm
             0.64170533 = fieldWeight in 1938, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.8448567 = idf(docFreq=127, maxDocs=44218)
               0.09375 = fieldNorm(doc=1938)
       0.24 = coord(6/25)