Geodesic
On soft trees
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2015), pp. 82-95.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we introduce the notions of soft trees, soft cycles, soft bridges, soft cutnodes, and describe various methods of construction of soft trees. We investigate some of their fundamental properties. 
@article{BASM_2015_2_a7,
     author = {Muhammad Akram and Fariha Zafar},
     title = {On soft trees},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {82--95},
     publisher = {mathdoc},
     number = {2},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2015_2_a7/}
}
TY  - JOUR
AU  - Muhammad Akram
AU  - Fariha Zafar
TI  - On soft trees
JO  - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
PY  - 2015
SP  - 82
EP  - 95
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BASM_2015_2_a7/
LA  - en
ID  - BASM_2015_2_a7
ER  - 
%0 Journal Article
%A Muhammad Akram
%A Fariha Zafar
%T On soft trees
%J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
%D 2015
%P 82-95
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BASM_2015_2_a7/
%G en
%F BASM_2015_2_a7
Muhammad Akram; Fariha Zafar. On soft trees. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2015), pp. 82-95. http://geodesic.mathdoc.fr/item/BASM_2015_2_a7/

[1] Akram M., “Bipolar fuzzy graphs”, Information Sciences, 181 (2011), 5548–5564 | DOI | MR | Zbl

[2] Akram M., Dudek W. A., “Regular bipolar fuzzy graphs”, Neural Computing Applications, 21 (2012), 197–205 | DOI

[3] Akram M., Nawaz S., “Operations on soft graphs”, Fuzzy Information and Engineering (to appear)

[4] Ali M. I., Feng F., Liu X. Y., Min W. K., Shabir M., “On some new operations in soft set theory”, Computers and Mathematics with Applications, 57 (2009), 1547–1553 | DOI | MR | Zbl

[5] Bhattacharya P., “Some remarks on fuzzy graphs”, Pattern Recognition Letter, 6 (1987), 297–302 | DOI | Zbl

[6] Bhutani K. R., Rosenfeld A., “Strong arcs in fuzzy graphs”, Information Sciences, 152 (2003), 319–322 | DOI | MR | Zbl

[7] Feng F., Akram M., Davvaz B., Fotea V. L., “A new approach to attribute analysis of information systems based on soft implications”, Knowledge-Based Systems, 70 (2014), 281–292 | DOI

[8] Kauffman A., Introduction a la Theorie des Sous-emsembles Flous, v. 1, Masson et Cie, 1973

[9] Maji P. K., Biswas R., Roy A. R., “Soft set theory”, Computers and Mathematics with Applications, 45 (2003), 555–562 | DOI | MR | Zbl

[10] Molodtsov D. A., “Soft set theory – first results”, Computers and Mathematics with Applications, 37 (1999), 19–31 | DOI | MR | Zbl

[11] Rosenfeld A., “Fuzzy graphs”, Fuzzy Sets and Their Applications, eds. L. A. Żadeh, K. S. Fu, M. Shimura, Academic Press, New York, 1975, 77–95 | MR

[12] Sunitha M. S., Vijayakumar F., “A characterization of fuzzy trees”, Information Sciences, 113 (1999), 293–300 | DOI | MR | Zbl

[13] Thumbakara R. K., George B., “Soft graphs”, General Mathematics Notes, 21:2 (2014), 75–86

[14] Zadeh L. A., “Fuzzy sets”, Information and Control, 8 (1965), 378–352 | DOI | MR