Research Article

T-Fuzzy Submodules of RxM

Number: 22 March 26, 2018
Rasul Rasuli
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T-Fuzzy Submodules of RxM

Abstract

In this paper, we introduce the concept of T-fuzzy submodule of RxM and give new results on this subject. Next we study the concept of the extension of T-fuzzy submodule of RxM and prove some results on these. Also we investigate T-fuzzy submodule of RxM under homomorphisms or R-modules.

Keywords

Theory of modules,extensions,homomorphism,fuzzy set theory,norms

References

  1. [1] C. Alsina et al, On some logical connectives for fuzzy set theory, J. Math. Anal. Appl, 93 (1983), 15-26.
  2. [2] J. M. Anthony and H. Sherwood, Fuzzy groups rede¯ned, Journal of Mathemat- ical Analysis and Application, 69 (1977), 124-130.
  3. [3] M. M. Gupta and J. Qi, Theory of T-norms and fuzzy inference methods, Fuzzy Sets and System, 40 (1991), 431-450.
  4. [4] U. Hohle, Probabilistic uniformization of fuzzy topologies, Fuzzy Sets and Sys- tems, 1 (1978), 311-332.
  5. [5] A. Solairaju and R. Nagarajan, Q-Fuzzy left R-subgroups of near rings with respect to t-norms, Antarctica Journal of Mathematics 5(2008), 59-63.
  6. [6] A. Solairaju and R. Nagarajan, A New Structure and Construction of Q-Fuzzy Groups, Advances in fuzzy mathematics 4(2009), 23-29.
  7. [7] R. Rasuli, Fuzzy Ideals of Subtraction Semigroups with Respect to A t-norm and A t-conorm, The Journal of Fuzzy Mathematics Los Angeles, 24 (4) (2016), 881-892.
  8. [8] R. Rasuli, Fuzzy modules over a t-norm, Int. J. Open Problems Compt. Math., 9 (3) (2016), 12-18.
  9. [9] R. Rasuli, Fuzzy Subrings over a t-norm , The Journal of Fuzzy Mathematics Los Angeles, 24 (4) (2016), 995-1000.
  10. [10] R. Rasuli, Norms over intuitionistic fuzzy subrings and ideals of a ring, Notes on Intuitionistic Fuzzy Sets, 22 (5) (2016), 72-83.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Rasul Rasuli This is me

Publication Date

March 26, 2018

Submission Date

January 20, 2018

Acceptance Date

-

Published in Issue

Year 2018 Number: 22

IZ

https://izlik.org/JA55RX66CY

Cite

RIS / Bibtex
APA
Rasuli, R. (2018). T-Fuzzy Submodules of RxM. Journal of New Theory, 22, 92-102. https://izlik.org/JA55RX66CY
AMA
1.Rasuli R. T-Fuzzy Submodules of RxM. JNT. 2018;(22):92-102. https://izlik.org/JA55RX66CY
Chicago
Rasuli, Rasul. 2018. “T-Fuzzy Submodules of RxM”. Journal of New Theory, nos. 22: 92-102. https://izlik.org/JA55RX66CY.
EndNote
Rasuli R (March 1, 2018) T-Fuzzy Submodules of RxM. Journal of New Theory 22 92–102.
IEEE
[1]R. Rasuli, “T-Fuzzy Submodules of RxM”, JNT, no. 22, pp. 92–102, Mar. 2018, [Online]. Available: https://izlik.org/JA55RX66CY
ISNAD
Rasuli, Rasul. “T-Fuzzy Submodules of RxM”. Journal of New Theory. 22 (March 1, 2018): 92-102. https://izlik.org/JA55RX66CY.
JAMA
1.Rasuli R. T-Fuzzy Submodules of RxM. JNT. 2018;:92–102.
MLA
Rasuli, Rasul. “T-Fuzzy Submodules of RxM”. Journal of New Theory, no. 22, Mar. 2018, pp. 92-102, https://izlik.org/JA55RX66CY.
Vancouver
1.Rasul Rasuli. T-Fuzzy Submodules of RxM. JNT [Internet]. 2018 Mar. 1;(22):92-102. Available from: https://izlik.org/JA55RX66CY

 

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