I-Vague Vector Spaces

Zelalem Teshome Wale

Abstract


The notions of I-vague vector spaces of vector spaces with membership and non-membership functions taking values in an involutary dually residuated lattice ordered semigroup are introduced which generalizes the notions with truth values in a Boolean algebra as well as those usual vague sets whose membership and non-membership functions taking values in the unit interval [0, 1]. We discuss some properties of I-vague vector spaces.

Keywords


Involutary dually residuated lattice ordered semigroup; I-vague sets; I-vague vector spaces

Full Text:

PDF

References


N. Ramakrishna and T. Eswarlal, “Boolean vague sets,” International Journal of Computational Cognition, vol. 5, no. 4, 2007.

K. Swamy, “Dually residuated lattice ordered semigroups,” Mathematische Annalen, vol. 159, no. 2, pp. 105–114, 1965.

K. Swamy, “Dually residuated lattice ordered semigroups, ii,” Mathematische Annalen, vol. 160, no. 1, pp. 64–71, 1965.

K. Swamy, “Dually residuated lattice ordered semigroups, iii,” Mathematische Annalen, vol. 167, no. 1, pp. 71–74, 1966.

C. Chang, “Algebraic analysis of many valued logics,” Transactions of the American Mathematical society, vol. 88, no. 2, pp. 467–490, 1958.

T. Eswarlal and N. Ramakrishna, “Vague fields and vague vector spaces,” International Journal of pure and applied Mathematics, vol. 94, no. 3, pp. 295–305, 2014.

K. R. Rao, “Vague vector space and vague modules,” International Journal of Pure and Applied Mathematics, vol. 111, no. 2, pp. 179–188, 2016.

T. Zelalem, “I-vague Sets and I-vague Relations,” International Journal of Computational Cognition, vol. 8, no. 4, pp. 102–109, 2010.




DOI: http://dx.doi.org/10.12962/j24775401.v6i2.4738

Refbacks

  • There are currently no refbacks.



View My Stats


Creative Commons License
International Journal of Computing Science and Applied Mathematics by Pusat Publikasi Ilmiah LPPM, Institut Teknologi Sepuluh Nopember is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at https://iptek.its.ac.id/index.php/ijcsam.