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Published in 2018 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-017-1125-0
Abstract: Let R be an arbitrary commutative finite chain ring and $$\gamma $$γ a fixed generator of the maximal ideal of R. Suppose s is the nilpotency index of $$\gamma $$γ and F is the residue…
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Keywords:
finite chain;
twisted codes;
quasi twisted;
omega gamma ... See more keywords
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Published in 2018 at "IEEE Transactions on Fuzzy Systems"
DOI: 10.1109/tfuzz.2016.2637376
Abstract: It is known that bisymmetry generalizes the simultaneous commutativity and associativity in the framework of the unit interval. In this work, we will completely characterize two classes of bisymmetric aggregation operators: one with a neutral…
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Keywords:
finite chain;
bisymmetry;
discrete bisymmetry;
aggregation operators ... See more keywords
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Published in 2020 at "Journal of Applied and Industrial Mathematics"
DOI: 10.1134/s1990478920030163
Abstract: Abstract We consider the transformations of independent random variables over a linearly ordered finite set (a chain) by the join and meet operations. We investigate the possibility of approximating an arbitrary probability distribution on a…
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Keywords:
chain;
variables finite;
random variables;
finite chain ... See more keywords
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Published in 2019 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498820501030
Abstract: Let [Formula: see text] be a finite field of cardinality [Formula: see text], where [Formula: see text] is an odd prime, [Formula: see text] be positive integers satisfying [Formula: see text], and denote [Formula: see…
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Keywords:
linear codes;
formula see;
finite chain;
see text ... See more keywords
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Published in 2020 at "Special Matrices"
DOI: 10.1515/spma-2020-0118
Abstract: Abstract Circulant matrices over finite fields and over commutative finite chain rings have been of interest due to their nice algebraic structures and wide applications. In many cases, such matrices over rings have a closed…
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Keywords:
finite chain;
commutative finite;
matrices commutative;
circulant matrices ... See more keywords