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Iranian Journal of Fuzzy Systems، جلد ۱۹، شماره ۱، صفحات ۷۳-۸۱
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| عنوان فارسی |
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| چکیده فارسی مقاله |
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| کلیدواژه‌های فارسی مقاله |
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| عنوان انگلیسی |
A note on divisible discrete triangular norms |
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| چکیده انگلیسی مقاله |
Triangular norms and conorms on [0,1] as well as on finite chains are characterized by 4 independent properties, namely by the associativity, commutativity, monotonicity and neutral element being one of extremal points of the considered domain (top element for t-norms, bottom element for t-conorms). In the case of [0,1]domain, earlier results of Mostert and Shields on I-semigroups can be used to relax the latest three properties significantly, once the continuity of the underlying t-norm or t-conorm is considered. The aim of this short note is to show a similar result for finite chains, we significantly relax 3 basic properties of t-norms and t-conorms (up to the associativity) when the divisibility of a t-norm or of a t-conorm is considered. |
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| کلیدواژه‌های انگلیسی مقاله |
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| نویسندگان مقاله |
F. Kouchakinejad |
Department of Statistics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, Iran
A. Stupnanova |
Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology,
Radlinskeho 11, 810 05 Bratislava, Slovakia
A. Seliga |
Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology,
Radlinskeho 11, 810 05 Bratislava, Slovakia
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| نشانی اینترنتی |
https://ijfs.usb.ac.ir/article_6552_212cf3ae3695a65bcb7510f17d629c1d.pdf |
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| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
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