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Year 2020, Volume: 41 Issue: 4, 875 - 883, 29.12.2020

Alaa Abd El-latıf

https://doi.org/10.17776/csj.752182

Abstract

References

  • [1] Zadeh L. A., Fuzzy sets, Information and Control, 8 (1965) 338-353.
  • [1] Zadeh L. A., Fuzzy sets, Information and Control, 8 (1965) 338-353.
  • [2] Molodtsov D., Soft set theory-first results, Comput. Math. Appl., (37) (1999) 19-31.
  • [2] Molodtsov D., Soft set theory-first results, Comput. Math. Appl., (37) (1999) 19-31.
  • [3 Maji P. K., Biswas R. and Roy A. R., Fuzzy soft sets, Journal of Fuzzy Mathematics, 9 (3) (2001) 589-602.
  • [3 Maji P. K., Biswas R. and Roy A. R., Fuzzy soft sets, Journal of Fuzzy Mathematics, 9 (3) (2001) 589-602.
  • [4] Ahmad B., Kharal, A., Mappings on fuzzy soft classes, Adv. Fuzzy Syst. (2009), Art. ID 407890, 1-6.
  • [4] Ahmad B., Kharal, A., Mappings on fuzzy soft classes, Adv. Fuzzy Syst. (2009), Art. ID 407890, 1-6.
  • [5] Çag ̆man N., Enginog ̆lu S.and Çitak F., Fuzzy soft set theory and its applications, Iranian Journal of Fuzzy Systems, 8(3) (2011) 137-147.
  • [5] Çag ̆man N., Enginog ̆lu S.and Çitak F., Fuzzy soft set theory and its applications, Iranian Journal of Fuzzy Systems, 8(3) (2011) 137-147.
  • [6] Tanay B., Kandemir M. B., Topological structure of fuzzy soft sets, Comput. Math. Appl., (61) (2011) 412-418.
  • [6] Tanay B., Kandemir M. B., Topological structure of fuzzy soft sets, Comput. Math. Appl., (61) (2011) 412-418.
  • [7] Shabir M., Naz M., On soft topological spaces, Comput. Math. Appl., (61) (2011) 1786-1799 . [8] Chang C. L., Fuzzy topological spaces, J. Math. Anal. Appl., (24) (1968) 182-190.
  • [7] Shabir M., Naz M., On soft topological spaces, Comput. Math. Appl., (61) (2011) 1786-1799 . [8] Chang C. L., Fuzzy topological spaces, J. Math. Anal. Appl., (24) (1968) 182-190.
  • [9] Mahanta J., Das P.K., Results on fuzzy soft topological spaces, https://arxiv.org/abs/1203.0634.
  • [9] Mahanta J., Das P.K., Results on fuzzy soft topological spaces, https://arxiv.org/abs/1203.0634.
  • [10] Roy S., Samanta T. K., A note on fuzzy soft topological spaces, Ann. Fuzzy Math. Inform., 3 (2) (2012) 305-311.
  • [10] Roy S., Samanta T. K., A note on fuzzy soft topological spaces, Ann. Fuzzy Math. Inform., 3 (2) (2012) 305-311.
  • [11] El-Sheikh S. A., Abd El-latif A. M., Decompositions of some types of supra soft sets and soft continuity, International Journal of Mathematics Trends and Technology, 9 (1) (2014) 37-56.
  • [11] El-Sheikh S. A., Abd El-latif A. M., Decompositions of some types of supra soft sets and soft continuity, International Journal of Mathematics Trends and Technology, 9 (1) (2014) 37-56.
  • [12] Abd El-latif A. M., Some properties of fuzzy supra soft topological spaces, European Journal of Pure And Applied Mathematics, (12) 3 (2019) 999-1017.
  • [12] Abd El-latif A. M., Some properties of fuzzy supra soft topological spaces, European Journal of Pure And Applied Mathematics, (12) 3 (2019) 999-1017.
  • [13] Abd El-latif A. M., Results on Fuzzy Supra Soft Topological Spaces, Journal of Interdisciplinary Mathematics, 22 (8) (2019) 1311-1323.
  • [13] Abd El-latif A. M., Results on Fuzzy Supra Soft Topological Spaces, Journal of Interdisciplinary Mathematics, 22 (8) (2019) 1311-1323.
  • [14] Lin F., Soft connected spaces and soft paracompact spaces, International Journal of Mathematical Science and Engineering, 7 (2) (2013) 1-7.
  • [14] Lin F., Soft connected spaces and soft paracompact spaces, International Journal of Mathematical Science and Engineering, 7 (2) (2013) 1-7.
  • [15] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and Abd El-latif A. M., Fuzzy soft semi connected properties in fuzzy soft topological spaces, Math. Sci. Lett., 4 (2) (2015) 171-179.
  • [15] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and Abd El-latif A. M., Fuzzy soft semi connected properties in fuzzy soft topological spaces, Math. Sci. Lett., 4 (2) (2015) 171-179.
  • [16] Hussain S., On properties of fuzzy soft locally connected spaces, Hacettepe Journal of Mathematics and Statistics, 47 (3) (2018) 589-599.
  • [16] Hussain S., On properties of fuzzy soft locally connected spaces, Hacettepe Journal of Mathematics and Statistics, 47 (3) (2018) 589-599.
  • [17] Karataş S., Kihcç B. and Telliog ̆lu M., On fuzzy softconnected topological spaces, J. Linear Topol. Algebra, 3 (4) (2015) 229-240.
  • [17] Karataş S., Kihcç B. and Telliog ̆lu M., On fuzzy softconnected topological spaces, J. Linear Topol. Algebra, 3 (4) (2015) 229-240.
  • [18] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and El-Sayed S.S.S., Fuzzy soft connected sets in fuzzy soft topological spaces II, Journal of the Egyptian Mathematical Society, 25 (2017) 171-177.
  • [18] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and El-Sayed S.S.S., Fuzzy soft connected sets in fuzzy soft topological spaces II, Journal of the Egyptian Mathematical Society, 25 (2017) 171-177.
  • [19] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and El-Sayed S.S.S., Fuzzy soft connected sets in fuzzy soft topological spaces I, J. Adv. Math. 8 (12) (2016) 6473-6488.
  • [19] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and El-Sayed S.S.S., Fuzzy soft connected sets in fuzzy soft topological spaces I, J. Adv. Math. 8 (12) (2016) 6473-6488.
  • [20] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and El-Sayed S.S.S., Fuzzy soft hyperconnected spaces, Ann. Fuzzy Math. Inform., 13 (6) (2017) 689-708.
  • [20] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and El-Sayed S.S.S., Fuzzy soft hyperconnected spaces, Ann. Fuzzy Math. Inform., 13 (6) (2017) 689-708.
  • [21] Maji P. K., Biswas R. and Roy A. R., Soft set theory, Comput. Math. Appl., 45 (2003) 555-562.
  • [21] Maji P. K., Biswas R. and Roy A. R., Soft set theory, Comput. Math. Appl., 45 (2003) 555-562.
  • [22] Bakir T., Burcu Kandemir, M., Topological structure of fuzzy soft sets, Comput. Math. Appl., 61 (2011) 2952-2957.
  • [22] Bakir T., Burcu Kandemir, M., Topological structure of fuzzy soft sets, Comput. Math. Appl., 61 (2011) 2952-2957.
  • [23] Atmaca S. and Zorlutuna I., On fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5 (2) (2013) 377-386.
  • [23] Atmaca S. and Zorlutuna I., On fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5 (2) (2013) 377-386.
  • [24] Pazar Varol B., Aygun H., Fuzzy soft topology, Hacettepe Journal of Mathematics and Statistics, 41 (3) (2012) 407-419.
  • [24] Pazar Varol B., Aygun H., Fuzzy soft topology, Hacettepe Journal of Mathematics and Statistics, 41 (3) (2012) 407-419.
  • [25] Ajmal N., Kohli J.K., Connectedness in fuzzy topological spaces, Fuzzy Sets and Systems, 31 (1989) 369-388.
  • [25] Ajmal N., Kohli J.K., Connectedness in fuzzy topological spaces, Fuzzy Sets and Systems, 31 (1989) 369-388.
  • [26] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and Abd El-latif A. M., Soft connectedness via soft ideals, Journal of New Results in Science, 4 (2014) 90-108.
  • [26] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and Abd El-latif A. M., Soft connectedness via soft ideals, Journal of New Results in Science, 4 (2014) 90-108.

On characterizations of fuzzy supra soft connected spaces

Year 2020, Volume: 41 Issue: 4, 875 - 883, 29.12.2020

Alaa Abd El-latıf

https://doi.org/10.17776/csj.752182

Abstract

In this work, we initiate and study notion of connectedness for fuzzy supra soft topological spaces and present fundamentals properties. Moreover, we discuss its properties as well as with respect to fuzzy supra soft subspaces and fuzzy supra irresolute soft functions. Furthermore, we generalize C_i-fuzzy soft connectedness (i=1,2,3,4), which plays an important role in fuzzy soft topological spaces, to fuzzy supra soft topological spaces. The relationship between the classes FSSCi-connected sets is discussed. Moreover, we introduce counterexamples to clarify that the reverse implications aren’t satisfied.

Keywords

fss-connected sets Fuzzy supra irresolute soft functions FSSCi- connected spaces

References

  • [1] Zadeh L. A., Fuzzy sets, Information and Control, 8 (1965) 338-353.
  • [1] Zadeh L. A., Fuzzy sets, Information and Control, 8 (1965) 338-353.
  • [2] Molodtsov D., Soft set theory-first results, Comput. Math. Appl., (37) (1999) 19-31.
  • [2] Molodtsov D., Soft set theory-first results, Comput. Math. Appl., (37) (1999) 19-31.
  • [3 Maji P. K., Biswas R. and Roy A. R., Fuzzy soft sets, Journal of Fuzzy Mathematics, 9 (3) (2001) 589-602.
  • [3 Maji P. K., Biswas R. and Roy A. R., Fuzzy soft sets, Journal of Fuzzy Mathematics, 9 (3) (2001) 589-602.
  • [4] Ahmad B., Kharal, A., Mappings on fuzzy soft classes, Adv. Fuzzy Syst. (2009), Art. ID 407890, 1-6.
  • [4] Ahmad B., Kharal, A., Mappings on fuzzy soft classes, Adv. Fuzzy Syst. (2009), Art. ID 407890, 1-6.
  • [5] Çag ̆man N., Enginog ̆lu S.and Çitak F., Fuzzy soft set theory and its applications, Iranian Journal of Fuzzy Systems, 8(3) (2011) 137-147.
  • [5] Çag ̆man N., Enginog ̆lu S.and Çitak F., Fuzzy soft set theory and its applications, Iranian Journal of Fuzzy Systems, 8(3) (2011) 137-147.
  • [6] Tanay B., Kandemir M. B., Topological structure of fuzzy soft sets, Comput. Math. Appl., (61) (2011) 412-418.
  • [6] Tanay B., Kandemir M. B., Topological structure of fuzzy soft sets, Comput. Math. Appl., (61) (2011) 412-418.
  • [7] Shabir M., Naz M., On soft topological spaces, Comput. Math. Appl., (61) (2011) 1786-1799 . [8] Chang C. L., Fuzzy topological spaces, J. Math. Anal. Appl., (24) (1968) 182-190.
  • [7] Shabir M., Naz M., On soft topological spaces, Comput. Math. Appl., (61) (2011) 1786-1799 . [8] Chang C. L., Fuzzy topological spaces, J. Math. Anal. Appl., (24) (1968) 182-190.
  • [9] Mahanta J., Das P.K., Results on fuzzy soft topological spaces, https://arxiv.org/abs/1203.0634.
  • [9] Mahanta J., Das P.K., Results on fuzzy soft topological spaces, https://arxiv.org/abs/1203.0634.
  • [10] Roy S., Samanta T. K., A note on fuzzy soft topological spaces, Ann. Fuzzy Math. Inform., 3 (2) (2012) 305-311.
  • [10] Roy S., Samanta T. K., A note on fuzzy soft topological spaces, Ann. Fuzzy Math. Inform., 3 (2) (2012) 305-311.
  • [11] El-Sheikh S. A., Abd El-latif A. M., Decompositions of some types of supra soft sets and soft continuity, International Journal of Mathematics Trends and Technology, 9 (1) (2014) 37-56.
  • [11] El-Sheikh S. A., Abd El-latif A. M., Decompositions of some types of supra soft sets and soft continuity, International Journal of Mathematics Trends and Technology, 9 (1) (2014) 37-56.
  • [12] Abd El-latif A. M., Some properties of fuzzy supra soft topological spaces, European Journal of Pure And Applied Mathematics, (12) 3 (2019) 999-1017.
  • [12] Abd El-latif A. M., Some properties of fuzzy supra soft topological spaces, European Journal of Pure And Applied Mathematics, (12) 3 (2019) 999-1017.
  • [13] Abd El-latif A. M., Results on Fuzzy Supra Soft Topological Spaces, Journal of Interdisciplinary Mathematics, 22 (8) (2019) 1311-1323.
  • [13] Abd El-latif A. M., Results on Fuzzy Supra Soft Topological Spaces, Journal of Interdisciplinary Mathematics, 22 (8) (2019) 1311-1323.
  • [14] Lin F., Soft connected spaces and soft paracompact spaces, International Journal of Mathematical Science and Engineering, 7 (2) (2013) 1-7.
  • [14] Lin F., Soft connected spaces and soft paracompact spaces, International Journal of Mathematical Science and Engineering, 7 (2) (2013) 1-7.
  • [15] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and Abd El-latif A. M., Fuzzy soft semi connected properties in fuzzy soft topological spaces, Math. Sci. Lett., 4 (2) (2015) 171-179.
  • [15] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and Abd El-latif A. M., Fuzzy soft semi connected properties in fuzzy soft topological spaces, Math. Sci. Lett., 4 (2) (2015) 171-179.
  • [16] Hussain S., On properties of fuzzy soft locally connected spaces, Hacettepe Journal of Mathematics and Statistics, 47 (3) (2018) 589-599.
  • [16] Hussain S., On properties of fuzzy soft locally connected spaces, Hacettepe Journal of Mathematics and Statistics, 47 (3) (2018) 589-599.
  • [17] Karataş S., Kihcç B. and Telliog ̆lu M., On fuzzy softconnected topological spaces, J. Linear Topol. Algebra, 3 (4) (2015) 229-240.
  • [17] Karataş S., Kihcç B. and Telliog ̆lu M., On fuzzy softconnected topological spaces, J. Linear Topol. Algebra, 3 (4) (2015) 229-240.
  • [18] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and El-Sayed S.S.S., Fuzzy soft connected sets in fuzzy soft topological spaces II, Journal of the Egyptian Mathematical Society, 25 (2017) 171-177.
  • [18] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and El-Sayed S.S.S., Fuzzy soft connected sets in fuzzy soft topological spaces II, Journal of the Egyptian Mathematical Society, 25 (2017) 171-177.
  • [19] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and El-Sayed S.S.S., Fuzzy soft connected sets in fuzzy soft topological spaces I, J. Adv. Math. 8 (12) (2016) 6473-6488.
  • [19] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and El-Sayed S.S.S., Fuzzy soft connected sets in fuzzy soft topological spaces I, J. Adv. Math. 8 (12) (2016) 6473-6488.
  • [20] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and El-Sayed S.S.S., Fuzzy soft hyperconnected spaces, Ann. Fuzzy Math. Inform., 13 (6) (2017) 689-708.
  • [20] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and El-Sayed S.S.S., Fuzzy soft hyperconnected spaces, Ann. Fuzzy Math. Inform., 13 (6) (2017) 689-708.
  • [21] Maji P. K., Biswas R. and Roy A. R., Soft set theory, Comput. Math. Appl., 45 (2003) 555-562.
  • [21] Maji P. K., Biswas R. and Roy A. R., Soft set theory, Comput. Math. Appl., 45 (2003) 555-562.
  • [22] Bakir T., Burcu Kandemir, M., Topological structure of fuzzy soft sets, Comput. Math. Appl., 61 (2011) 2952-2957.
  • [22] Bakir T., Burcu Kandemir, M., Topological structure of fuzzy soft sets, Comput. Math. Appl., 61 (2011) 2952-2957.
  • [23] Atmaca S. and Zorlutuna I., On fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5 (2) (2013) 377-386.
  • [23] Atmaca S. and Zorlutuna I., On fuzzy soft topological spaces, Ann. Fuzzy Math. Inform. 5 (2) (2013) 377-386.
  • [24] Pazar Varol B., Aygun H., Fuzzy soft topology, Hacettepe Journal of Mathematics and Statistics, 41 (3) (2012) 407-419.
  • [24] Pazar Varol B., Aygun H., Fuzzy soft topology, Hacettepe Journal of Mathematics and Statistics, 41 (3) (2012) 407-419.
  • [25] Ajmal N., Kohli J.K., Connectedness in fuzzy topological spaces, Fuzzy Sets and Systems, 31 (1989) 369-388.
  • [25] Ajmal N., Kohli J.K., Connectedness in fuzzy topological spaces, Fuzzy Sets and Systems, 31 (1989) 369-388.
  • [26] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and Abd El-latif A. M., Soft connectedness via soft ideals, Journal of New Results in Science, 4 (2014) 90-108.
  • [26] Kandil A., Tantawy O. A. E., El-Sheikh S. A. and Abd El-latif A. M., Soft connectedness via soft ideals, Journal of New Results in Science, 4 (2014) 90-108.
There are 50 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Natural Sciences
Authors

Alaa Abd El-latıf 0000-0002-4694-5048

Publication Date December 29, 2020
Submission Date June 12, 2020
Acceptance Date November 18, 2020
Published in Issue Year 2020Volume: 41 Issue: 4

Cite

APA Abd El-latıf, A. (2020). On characterizations of fuzzy supra soft connected spaces. Cumhuriyet Science Journal, 41(4), 875-883. https://doi.org/10.17776/csj.752182