T. Senapati, M. Bhowmik, M. Pal, B. Davvaz, “Atanassov’s intuitionistic fuzzy translations of intuitionistic fuzzy subalgebras and ideals in $BCK/BCI$-algebras”, Eurasian Math. J., 6:1 (2015), 96

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Eurasian Mathematical Journal, 2015, Volume 6, Number 1, Pages 96–114 (Mi emj187)

This article is cited in 11 scientific papers (total in 11 papers)

Atanassov’s intuitionistic fuzzy translations of intuitionistic fuzzy subalgebras and ideals in

$BCK/BCI$ -algebras

T. Senapati^a, M. Bhowmik^b, M. Pal^a, B. Davvaz^c

^a Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore - 721 102, India
^b Department of Mathematics, V. T. T. College, Midnapore - 721 101, India
^c Department of Mathematics, Yazd University, Yazd, Iran

Full-text PDF (411 kB) Citations (11)

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Abstract: In this paper, the concepts of intuitionistic fuzzy translation to intuitionistic fuzzy subalgebras and ideals in

$BCK/BCI$ -algebras are introduced. The notion of intuitionistic fuzzy extensions and intuitionistic fuzzy multiplications of intuitionistic fuzzy subalgebras and ideals are introduced and several related properties are investigated. In this paper, the relationships between intuitionistic fuzzy translations and intuitionistic fuzzy extensions of intuitionistic fuzzy subalgebras and ideals are investigated.

Keywords and phrases: intuitionistic fuzzy subalgebra, intuitionistic fuzzy ideal, intuitionistic fuzzy translation, intuitionistic fuzzy extension, intuitionistic fuzzy multiplication.

Received: 20.01.2013

Bibliographic databases:

Document Type: Article

MSC: 06F35, 03G25, 08A72

Language: English

Citation: T. Senapati, M. Bhowmik, M. Pal, B. Davvaz, “Atanassov’s intuitionistic fuzzy translations of intuitionistic fuzzy subalgebras and ideals in

$BCK/BCI$ -algebras”, Eurasian Math. J., 6:1 (2015), 96–114

Citation in format AMSBIB

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\by T.~Senapati, M.~Bhowmik, M.~Pal, B.~Davvaz

\paper Atanassov’s intuitionistic fuzzy translations of intuitionistic fuzzy subalgebras and ideals in $BCK/BCI$-algebras

\jour Eurasian Math. J.

\yr 2015

\vol 6

\issue 1

\pages 96--114

\mathnet{http://mi.mathnet.ru/emj187}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000374499100008}

Linking options:

https://www.mathnet.ru/eng/emj187

https://www.mathnet.ru/eng/emj/v6/i1/p96

This publication is cited in the following 11 articles:

Hameed A.T., Zabiba Mohammed Shakir Mahdi, Malik N.H., “Magnified Translation of Intuitionistic Fuzzy At-Ideals on At-Algebra”, J. Discret. Math. Sci. Cryptogr., 24:6 (2021), 1645–1650
Lee J.-G., Hur K., Jun Y.B., “Multi-Folded N-Structures With Finite Degree and Its Application in Bch-Algebras”, Int. J. Comput. Intell. Syst., 14:1 (2021), 36–42
Sh. Dogra, M. Pal, “M-polar picture fuzzy ideal of a bck algebra”, Int. J. Comput. Intell. Syst., 13:1 (2020), 409–420
N. Thongngam, A. Iampan, “A novel approach to intuitionistic fuzzy sets in up-algebras”, Korean J. Math., 27:4 (2019), 1077–1108
T. Senapati, Y. B. Jun, K. P. Shum, “Cubic intuitionistic subalgebras and closed cubic intuitionistic ideals of b-algebras”, J. Intell. Fuzzy Syst., 36:2 (2019), 1563–1571
T. Senapati, “ $T$ -fuzzy $KU$ -ideals of $KU$ -algebras”, Afr. Mat., 29:3-4 (2018), 591–600
T. Senapati, G. Muhiuddin, K. P. Shum, “Representation of up-algebras in interval-valued intuitionistic fuzzy environment”, Ital. J. Pure Appl. Math., 2017, no. 38, 497–518
T. Senapati, K. P. Shum, “Atanassov's intuitionistic fuzzy bi-normed KU-subalgebras of a KU-algebra”, Mo. J. Math. Sci., 29:1 (2017), 92–112
Ch. Jana, T. Senapati, M. Pal, “T-derivations on complicated subtraction algebras”, J. Discret. Math. Sci. Cryptogr., 20:8 (2017), 1583–1595
M. Touqeer, N. Cagman, “On some properties of p-ideals based on intuitionistic fuzzy sets”, Cogent Math., 3 (2016), UNSP 1210001
Ch. Jana, T. Senapati, M. Pal, “ $(\in, \in \vee q)$ -intuitionistic fuzzy BCI-subalgebras of a BCI-algebra”, J. Intell. Fuzzy Syst., 31:1 (2016), 613–621

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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