{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,1,19]],"date-time":"2025-01-19T05:22:52Z","timestamp":1737264172319,"version":"3.33.0"},"reference-count":17,"publisher":"Wiley","issue":"13","license":[{"start":{"date-parts":[[2007,3,21]],"date-time":"2007-03-21T00:00:00Z","timestamp":1174435200000},"content-version":"vor","delay-in-days":5923,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Systems &amp;amp; Computers in Japan"],"published-print":{"date-parts":[[1991,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>When a rule P Q and a fact P' that is an approximation of P are given, how to obtain the conclusion Q' approximately is an interesting topic on approximate reasoning. This paper proposes a new approach based on the revision principle and fixed value law. The basic idea on revision principle is to deduce Q' from Q based on the deviation of P' from P.<\/jats:p><jats:p>When the revision principle is applied on fuzzy set, there are two laws for obtaining a deviation from P' to P. The first law is called the fixed point law. Its basic idea is to fix an element \u00d7 in the universe of discourse \u00d7 of P and P' to obtain the deviation between the membership functions m\u0308p(x) and m\u0308p(x). The second law is called the fixed value law. Its basic idea is to fix a value such that the membership functions m\u0308p(x)= m\u0308p(x') to obtain the shift from point \u00d7 to x' on the universe of discourse X.<\/jats:p><jats:p>According to the fixed value law, it will become possible to deduce Q' from Q by shifting the membership function. As an example of the fixed value law, a set of linear revising formulas will be given.<\/jats:p>","DOI":"10.1002\/scj.4690221303","type":"journal-article","created":{"date-parts":[[2007,7,7]],"date-time":"2007-07-07T20:26:20Z","timestamp":1183839980000},"page":"20-27","source":"Crossref","is-referenced-by-count":2,"title":["A proposal on approximate reasoning based on revision principle and fixed value law"],"prefix":"10.1002","volume":"22","author":[{"given":"Liya","family":"Ding","sequence":"first","affiliation":[]},{"given":"Masao","family":"Mukaidono","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2007,3,21]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1145\/321250.321253"},{"key":"e_1_2_1_3_2","doi-asserted-by":"crossref","unstructured":"Z.Shen L.Ding andM.Mukaidono.Fuzzy Resolution Principle. Proc. 18th International Symposium on Multiple\u2010valued Logic pp.210\u2013215(1988).","DOI":"10.1109\/ISMVL.1988.5176"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_2_1_5_2","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/0020-0255(75)90036-5","article-title":"The Concept of a Linguistic Variable and Its Application to Approximate Reasoning, (I); (II); (III)","volume":"8","author":"Zadeh L. 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Proc. 19th International Symposium on Multiple\u2010valued Logic pp.179\u2013185(1989).","DOI":"10.1016\/0888-613X(89)90005-4"},{"key":"e_1_2_1_15_2","first-page":"94","article-title":"Approximate reasoning based on revision principle","author":"Mukaidono M.","year":"1990","journal-title":"Proc. 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