Investigation of Order among Some Known T-norms
نویسندگان
چکیده
منابع مشابه
Some Group Theoretic Aspects of t-Norms
Let A be the automorphism group of the unit interval with its usual order relation, and let B be the embedding of the multiplicative group of positive real numbers into A given by exponentiation. Strict t-norms are in one-to-one correspondence with the right cosets of B in A: Here, we identify the normalizer N of B in A and give explicit formulas for the corresponding set of t-norms.
متن کاملComparison of H-Logical Norm with some t-Norms
The paper presents the comparison of fuzzy conclusions derived from the use of t-norms with the fuzzy conclusions derived from the use of H-norm. The idea was to examine the application of H-logical norm to fuzzy reasoning, which is not monotonious while it is known that t-norms used in fuzzy reasoning have the characteristic of monotonicity. The comparison of fuzzy conclusions was performed by...
متن کاملSpectral norms of circulant-type matrices involving some well-known numbers
In this paper, we investigate spectral norms for circulant-type matrices, including circulant, skewcirculant and g-circulant matrices. The entries are product of binomial coefficients with Fibonacci numbers and Lucas numbers, respectively. We obtain identity estimations for these spectral norms. Employing these approaches, we list some numerical tests to verify our results.
متن کاملOn some properties of mixing OWA operators with t-norms and t-conorms
The OWA operators are traditionally used in the context of decision making as the means to aggregate the satisfaction of single criteria into a overall preference index. They belong to the class of averages, entailing compensatory properties. Differently, t-norms and t-conorms entail the reinforcement property, since there is a kind of interaction between the degree of criteria satisfaction. A ...
متن کاملOn Order Continuous Norms
It is shown that a normed vector lattice (E, ‖ · ‖) is order continuous if and only if, for every lattice norm ρ on E with ρ ≤ ‖·‖, the ‖·‖-topology and ρ-topology coincide on every order interval of E.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: American Journal of Applied Mathematics
سال: 2015
ISSN: 2330-0043
DOI: 10.11648/j.ajam.20150305.14