Results 11 to 20 of about 12,827,475 (135)

On Indistinguishability Operators, Fuzzy Metrics and Modular Metrics

Axioms, 2017
The notion of indistinguishability operator was introduced by Trillas, E. in 1982, with the aim of fuzzifying the crisp notion of equivalence relation.
Juan-José Miñana, Oscar Valero
doaj   +1 more source

Strict Achimedean t-Norms and t-Conorms as Universal Approximators [PDF]

, 1997
In knowledge representation, when we have to use logical connectives, various continuous t-norms and t-conorms are used. In this paper, we show that every continuous t-norm and t-conorm can be approximated, to an arbitrary degree of accuracy, by a strict
Wojciechowski, Piotr, Kreinovich, Vladik, Nguyen, Hung T.   +2 more
core   +1 more source

Stability of Various Functional Equations in Non-Archimedean Intuitionistic Fuzzy Normed Spaces [PDF]

, 2012
We define and study the concept of non-Archimedean intuitionistic fuzzy normed space by using the idea of t-norm and t-conorm. Furthermore, by using the non-Archimedean intuitionistic fuzzy normed space, we investigate the stability of various functional
Abdullah Alotaibi, Syed Abdul Mohiuddine, Mustafa Obaid   +2 more
core   +1 more source

Some remarks on the distributive equation of fuzzy implication and the contrapositive symmetry for continuous, Archimedean t-norms

International Journal of Approximate Reasoning, 2013
In this short article we present corrections of some results presented in Baczynski (2010) [6] and Qin and Yang (2010) [13] which are connected with the distributive equation I(x,T"1(y,z))=T"2(I(x,y),I(x,z)) and the contrapositive symmetry I(x,y)=I(N(y),N(x)) when T"1, T"2 are continuous t-norms, N is a strong negation and I an unknown binary function,
Michal Baczynski 0001, Feng Qin 0002
openaire   +1 more source

Generalizing a Construction of Non-Strong Fuzzy Metrics from Metrics and Studying Their Induced Topology

Mathematics
The problem of obtaining new examples of fuzzy metrics is of interest, as this type of fuzzy measurement has been proven to be useful in engineering applications.
Olga Grigorenko, Juan-José Miñana, Simona Talia   +2 more
doaj   +1 more source

On Quotients of Non-Archimedean Köthe Spaces

, 2007
We show that there exists a non-archimedean Fréchet-Montel spaceWwith a basis and with a continuous norm such that any non-archimedean Fréchet space of countable type is isomorphic to a quotient ofW. We also prove that any non-archimedean nuclear Fréchet
Wiesław Śliwa
core   +1 more source

On Quotients of Non-Archimedean Kothe Spaces [PDF]

, 2007
We show that there exists a non-archimedean Frechet-Montel space W with a basis and with a continuous norm such that any non-archimedean Frechet space of countable type is isomorphic to a quotient of W.
Śliwa, Wiesław
core  

CONTINUOUS NON-ARCHIMEDEAN AND p-ADIC WELCH BOUNDS

, 2022
We prove the continuous non-Archimedean (resp. p-adic) Banach space and Hilbert space versions of non-Archimedean (resp. p-adic) Welch bounds proved by M. Krishna.
K. MAHESH KRISHNA
core   +1 more source

Approximation of proximities by aggregating T-indistinguishability operators [PDF]

, 2007
For a continuous Archimedean t-norm T a method to approximate a proximity relation R (i.e. a reflexive and symmetric fuzzy relation) by a T-transitive one is provided.
Recasens, J., Garmendia, L.
core  

Finding close T-indistinguishability operators to a given proximity [PDF]

, 2007
Two ways to approximate a proximity relation R (i.e. a reflexive and symmetric fuzzy relation) by a T-transitive one where T is a continuous archimedean t-norm are given.
Recasens Ferrés, Jorge, Garmendia Salvador, Luis   +1 more
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