A note on divisible discrete triangular norms
محل انتشار: مجله سیستم های فازی، دوره: 19، شماره: 1
سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 192
فایل این مقاله در 9 صفحه با فرمت PDF قابل دریافت می باشد
- صدور گواهی نمایه سازی
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_IJFS-19-1_007
تاریخ نمایه سازی: 28 آذر 1400
چکیده مقاله:
Triangular norms and conorms on [۰,۱] as well as on finite chains are characterized by ۴ 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 [۰,۱]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 ۳ 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.
نویسندگان
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 ۱۱, ۸۱۰ ۰۵ Bratislava, Slovakia
A. Seliga
Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinskeho ۱۱, ۸۱۰ ۰۵ Bratislava, Slovakia