CURRICULUM VITAE
Name:
Muhammad Shabir
Father Name:
Atta Muhammad
Nationality:
Pakistani
Marital Status:
Married (with three children)
Present Address and Contact Information:
Department of Mathematics
Quaid-i-Azam University
Islamabad, Pakistan.
Phone (Office) 051-90642179
(Home) 051-4437582
(Cell) 0333-5145908
E-mail: [email protected]
Permanent Address:
House No. 2016
Street No. 71
Sector I-10-1
Islamabad, Pakistan.
Present Position:
Professor
Department of Mathematics
Quaid-i-Azam University
Islamabad, Pakistan.
Education:
B. Sc. 1975-1977 University of Punjab (Pakistan)
M. Sc. 1979-1981
Quaid-i-Azam University (Pakistan)
M. Phil. 1982-1984 Quaid-i-Azam University (Pakistan)
Ph. D. 1996
Quaid-i-Azam University (Pakistan)
Field of Specialization: Mathematics (Algebra)
Areas of Research Interest:
Rings,
Modules,
Semigroups, Semirings, Fuzzy
structures.
Experience:
Professor:
Quaid-i-Azam University 09-09-2011 to date.
Associate Professor:
Assistant Professor:
Lecturer:
Lecturer:
Quaid-i-Azam University 25-08-1999 to
08-09-2011
Govt. College Asghar Mall Rawal Pindi
29-05-1996 to 24-08-1999
Govt. College Asghar Mall Rawal Pindi
10-09-1988 to 29-05-1996
Govt. College G. T. Road Jehlum
17-05-1984 to 08-10-1988.
Membership of Professional Socities:
Pakistan Mathematical Socity
Thesis Supervision:
Ph. D. (at Q. A. U. Islamabad)
Sr. No. Name of Student
1
Asghar Khan
2
M. Irfan Ali
3
Rukhshanda Anjum
Title of Thesis
Year of award
of degree
On Fuzzy Ordered
Semigroups
Some Contributions to
Soft Semigroups and related
structures
Some studies in fuzzy
hemirings
2010
Two scholars are writing Thesis.
2010
2011
Three others are working.
M. Phil. (at Q. A. U. Islamabad)
Sr. No. Name of Student Title of Thesis
Year of award
Of degree
1
Imtiaz Ahmed
2001
2
Muhammad
Munir
M. Irfan Ali
3
4
Rukhshanda
Anjum
5
Sajjad Ahmed
6
Mudassar Jalil
7
Muhammad
Akram
8
Asghar Khan
9
M. Sohail
Iqbal
Razia Sultana
10
11
Mumtaz
Hussain
12
13
Imran Khan
Naila Kanwal
14
Tahir
Mehmood
Lubna
Shaheen
Saqib
15
16
Seminear-Rings
characterized by the
properties of their ideals
Bi-ideals in
Semirings
Rings characterized
by their fuzzy
ideals
Semirings
Characterized by
Their fuzzy ideals
Fuzzy Seminear
Rings
On Semimodules
Over Semirings
The power
Semigroups of the
semigroups of
Order < 3
On one sided
prime ideals in
semigroups
One sided prime
ideals of Semirings
Semirings
Characterized by
Their fuzzy bi-ideals
and fuzzy quasi-ideals
Near Rings
Characterized by
their fuzzy ideals
Weakly Regular S-acts
Prime bi-ideals in
Semigroups
Principally
Projective Semirings
Quasi-projective
Semimodules
Characterizations of
2001
2001
2001
2002
2003
2003
2003
2004
2004
2004
2005
2005
2005
2005
2005
Hussain
17
18
19
Fawad Hussain
Sajida
Kousar
Nazli Sanam
20
Mahwish Bano
21
Israr Ali Khan
22
Maliha Rashid
23
Mehmood
Hussan
24
25
Imran Rasheed
Muhammad
Abrar
26
Shahida Bashir
27
Mehar Bano
28
29
Sara Aziz
Nayyar
Mehmood
Mairaj Bi Bi
30
31
32
33
34
35
36
Semirngs by the
properties of their
p-ideals
On Bi-Semirings
Multiplication
Semirings
Some properties of
non-commutative Multiplication
Semigroups
Fuzzy prime bi-ideals
In semigroups
2006
2006
2006
2006
Fuzzy Ordered
Semigroups
On Injective
Semimodules
On P-subsemimodules
of Semimodules
over a Semiring
Roughness in Semigroups
Semirings
characterized by
properties of their
fuzzy p-ideals
On prime ideals in
ternary semigroups
Characterizations of ternary
semigroups by the properties
of their ideals
On Ternary Semirings
On Semi Hyperrings
2006
On generalized rough
ideals of Semigroups
Muhammad
On intuitionistic fuzzy ideals
Shoaib Arif
and bi-ideals in Semigroups
Yasir Nawaz
On (alpha,beta)-fuzzy
ideals in Semigroups
Hammad Nafis
On intuitionistic fuzzy
ideals in ordered
semigroups
Faiz Muhammad Khan On interval valued fuzzy
congruences of Semigroups
Sidrah Ahmed
On Interval valued fuzzy
Semigroups
Safeera Batool
On fuzzy S-acts
2008
2007
2007
2007
2007
2007
2007
2007
2007
2008
2008
2008
2009
2009
2009
37
38
Asad Ghafoor
Rida-e-Zainab
39
Shafaq Naz
40
Nadeem Safdar
41
Nosheen Malik
42
Munazza
Naz
Shumaila
Irshad
Samina
Akhtar
Javed
Hussain
Brohi
Alia Farooq
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
On S-posets
Some studies in
fuzzy AG groupoids
Characteriztions of
AG groupoids by the
properties of their ideals
Some studies in Soft
Semirings
On interval valued
fuzzy semirings
On fuzzy soft semigroups
2009
2009
Roughness in ordered
Semigroups
Some Contributions in
Rough Semirings
On generalizations of principally
Injective S-acts
2010
2009
2009
2009
2010
2010
2010
On (α, β)-fuzzy prime ideals in
2010
Semigroups
Aisha Siddiqa
On (α, β)-fuzzy prime ideals in
2010
rings
Maria Iftikhar
Hemirings Characterized by the
2010
properties of their generalized
fuzzy ideals
Adnan Kiyani
Characterizations of Semigroups 2010
By the properties of their interval valued
Fuzzy ideals
Noor Rehman
On Roughness in Ternary
2011
Semigroups
Imran Haider Qureshi Generalized intuitionistic fuzzy
2011
Ideals in Semigroups
Ali Ahmad
On soft Ternary Semigroups
2011
Shujaat Ali Shah
Some contributions in
2011
Г-Semigroups
Afshan Niaz
On n-dimensional fuzzy ideals of 2011
Semirings
Muhammad Rafiq
Some contributions to
2011
n-dimensional fuzzy ideals of
Semigroups
Kalsoom Chishti
Some contributions in
2011
Г-Semirings
Majid Ali
On intuitionistic fuzzy ideals of
2011
hemirings
Eight students are working.
Research Publications:
Published Papers:
1. S. M. Yusuf, M. Shabir, Radical classes and semisimple classes for
hemirings, Studia Scientiarum Mathematicarum 23 (1988) 231-235.
2. J. Ahsan, M. F. Khan, M. Shabir, M. Takahashi, Characterizations
of Monoids by p-injective and normal S-systems, Kobe J. Math., 8
(1991) 173-190.
3. J. Ahsan, M. Shabir, Semirings with projective ideals, Mathematica
Japonica, 38 (1993) 271-276.
4. J. Ahsan, R. Latif, M. Shabir, Representations of weakly regular
semirings by sections in a presheaf, Communications in Algebra, 21
(8) (1993) 2819-2835.
5. J. Ahsan, M. F. Khan, M. Shabir, Characterizations of Monoids by
the properties of their fuzzy subsystems, Fuzzy Sets and Systems, 56
(1993) 199-208.
6. J. Ahsan, M. F. Khan, M. Shabir, N. Zaman, Rings characterized
by their fuzzy submodules, Information Sciences, 74 (1993) 247264.
7. J. Ahsan, M. F. Khan, M. Shabir, N. Zaman, Rings characterized by
their fuzzy submodules, Mohu Xitong yu Shuxue, 7 (1993) 86-92.
8. J. Ahsan, M. Shabir, H. J. Weinert, Characterizations of semirings
by p-injective and projective semimodules, Communications in
Algebra, 26 (7) (1998) 2199-2209.
9. I. Beg, M. Arshad, M. Shabir, Fuzzy almost linear Spaces, Atti
Sem. Mat. Fis. Univ. Modena, XLVI (1998) 349-359.
10.
A. Khan, M. Shabir, M-projective Semimodules over
semirings, Sarhad J. Agric., 17 (2001) 119-122.
11.
J. Ahsan, R. M. Latif, M. Shabir, Fuzzy quasi-ideals in
Semigroups, J. Fuzzy Math., 9 (2001) 259-270.
12.
J. Ahsan, KuiYuan Li, M. Shabir, Semigroups characterized
by their fuzzy bi-ideals, J. Fuzzy Math., 10 (2002) 441-449.
13.
M. Shabir, A. Ali, Samian Batool, A Note on quasi-ideals in
Semirings, Southeast Asian Bull. Math., 27 (2004) 923-928.
14.
M. Shabir, Fully Fuzzy prime semigroups, International J.
Math. Math. Sci. (2005) 163-168.
15.
M. Shabir, A. Khan, Fully prime semigroups, Int. J. Math.
Anal. 1 (2006) no. 3, 261-268.
16.
M. Shabir, M. Hussain, R. Saeed, Fully Fuzzy idempotent Γnearrings, Int. J. Math. Anal. 3 (2006) no. 1, 19-37.
17.
J. Ahsan, K. Saifullah, M. Shabir, Fuzzy prime ideals of a
semiring and fuzzy prime sub-semimodules of a semimodule over a
semiring, New Mathematics and Natural computation, 2 (2006) 219236.
18.
M. Shabir, M. Naeem Ahmed, On Fuzzy prime ideals of a
BCK-Algebra, Southeast Asian Bull. Math., 30 (2006) 347-354.
19.
M. Shabir, M. Sohail Iqbal, One sided prime ideals in
semirings, Kyungpook Math. J., 47 (2007) 473-480.
20.
M. Shabir, N. Kanwal, Prime bi-ideals of Semigroups,
Southeast Asian Bull. Math., 31 (2007) 757-764.
21.
M. Shabir, I. Ahmed, Weakly regular Seminearrings,
International Electronic Journal of Algebra, 2 (2007) 114-126.
22.
J. Ahsan, K. Saifullah, M. Shabir, Fuzzy prime and semiprime
S-subacts over monoids, New Mathematics and Natural
Computation, 3 (2007) 41-55.
23.
M. Shabir, A. Khan, Characterizations of ordered semigroups
by the properties of their fuzzy generalized bi-ideals, New
Mathematics and Natural Computation, 4 (2008) 237-250.
24.
M. Shabir, A. Khan, Fuzzy Filters in ordered semigroups,
Lobachevskii Journal of Mathematics, 29 (2008) 82-89.
25.
M. Shabir, M. Irfan Ali, A. Khan, Rough S-acts,
Lobachevskii Journal of Mathematics, 29 (2008) 98-109.
26.
M. Shabir, A. Khan, Intuitionistic fuzzy filters of ordered
semigroups, J. Appl. Math. And Informatics, 26 (2008) 1071-1084.
27.
A. Khan, Y. B. Jun, M. Shabir, Fuzzy ideals in ordered
semigroups I, Quasigroups and related systems, 16 (2008) 207-220.
28.
M. Shabir, Mehar Bano, Prime bi-ideals in ternary
semigroups, Quasigroups and related systems, 16 (2008) 239-256.
29.
M. Shabir, I. A. Khan, Interval-valued fuzzy ideals generated
by an interval vlued fuzzy subset in ordered semigroups, Mathware
and soft computing, 15 (2008) 263-272.
30.
M. Shabir, Shahida Bashir, Prime ideals in ternary
semigroups, Asian-European Journal of Mathematics, 2 (2009) 141154.
31.
A. Khan, M. Shabir, (α, β)-fuzzy interior ideals in ordered
semigroups, Lobachevskii J. of Mathematics, 30 (2009) 30-39.
32.
M. Irfan Ali, Feng Feng, X. Liu, W. K. Min, M. Shabir, On
Some new operations in soft set theory, Computers and Mathematics
with applications, 57 (2009) 1547-1553.
33.
W. A. Dudek, M. Shabir, M. Irfan Ali, (α, β)-fuzzy ideals of
hemirings, Computers and Mathematics with applications, 58 (2009)
310-321.
34.
M. Shabir, Saqib Hussain, Semirings characterized by the
properties of their p-ideals, Southeast Asian Bull. Maths., 33 (2009)
349-359.
35.
Y. B. Jun, A. Khan, M. Shabir, Ordered semigroups
characterized by their (є, єvq)-fuzzy bi-ideals, Bull. Malays. Math.
Sci. Soc., 32 (2009) 391-408.
36.
S. Bashir, M. Shabir, Prime left ideals in ternary semigroups,
Journal of Advanced Research in Pure Mathematics, 1 (3) (2009) 113.
37.
M. Shabir, Y. Nawaz, Semigroups characterized by the
properties of their anti fuzzy ideals, Journal of Advanced Research
in Pure Mathematics, 1 (3) (2009) 42-59.
38.
S. Bashir, M. Shabir, Pure Ideals in ternary semigroups,
Quasigroups and related systems, 17 (2009) 149-160.
39.
A. Khan, Y. B. Jun, M. Shabir, N-fuzzy quasi-ideals in
ordered semigroups, Quasigroups and related systems, 17 (2009)
237-252.
40.
M. Shabir, A. Khan, Intuitionistic fuzzy interior ideals in
ordered semigroups, J. Appl. Math & Informatics, 27 (2009) 14471457.
41.
M. Shabir, M. Irfan Ali, Soft ideals and generalized fuzzy
ideals in semigroups, New Mathematics and Natural Computations,
5 (3) (2009) 599-615.
42.
A. Khan, Y. B. Jun, M. Shabir, N-fuzzy ideals in ordered
semigroups, International Journal of Mathematics and Mathematical
Sciences, 2009 (2009) Article ID 814861, 14 pages.
43.
M. Shabir, A. Khan, Ordered semigroups characterized by
their intuitionistic fuzzy generalized bi-ideals, Mohu Xitong yu
Shuxue, 23 (2009), 56-64.
44.
M. Shabir, Y. B. Jun, Y. Nawaz, Characterizations of regular
semigroups by (α, β)-fuzzy ideals, Computers and Mathematics with
Applications, 59 (2010) 161-175.
45.
M. Shabir, A. Khan, Characterizations of ordered semigroups
by the properties of their fuzzy ideals, Computers and Mathematics
with applications, 59 (2010), 539-549.
46.
M. Shabir, M. S. Arif, Characterizations of Monoids by the
Properties of their intuitionistic fuzzy subacts, New Mathematics
and Natural Computation, 6 (1) (2010) 31-48.
47.
W. A. Dudek, M. Shabir, R. Anjum, Characterizations of
hemirings by their h-ideals, Computers and Mathematics with
applications, 59 (2010) 3167-3179.
48.
A. Khan, Y. B. Jun and M. Shabir, N-fuzzy filters in ordered
semigroups, Mohu Xitong yu Shuxue, 24 (2) (2010) 28-32.
49.
Y. B. Jun, A. Khan, M. Shabir and S. Z. Song, Generalized
Anti Fuzzy Bi-ideals in Ordered Semigroups, Lobachevskii J.
Mathematics, 31 (2010) 65-76.
50.
A. Khan and M. Shabir, Intuitionistic fuzzy semiprime ideals
in ordered semigroups, Russian Mathematics (Iz. VUZ), 54 (2010),
56-67.
51.
A. Khan, Y. B. Jun and M. Shabir, Ordered semigroups
characterized by their intuitionistic fuzzy bi-ideals, Iranian Journal
of Fuzzy Systems, Vol. 7, No. 2, (2010) 55-69.
52.
M. Shabir, Y. B. Jun and Y. Nawaz, Semigroups
characterized by (є, єvqk)-fuzzy ideals, Computers and Mathematics
with Applications, 60 (2010) 1473-1493.
53.
M. Irfan Ali, M. Shabir, Comments on De Morgan’s Law in
Fuzzy Soft Sets, The Journal of Fuzzy Mathematics, 18(3) (2010)
679-686.
54.
M. Shabir, Y. B. Jun, M. Bano, On Prime Fuzzy Bi-ideals of
Semigroups, Iranian Journal of Fuzzy Systems, Vol. 7, No. 3, (2010)
115-128.
55.
Y. B. Jun, W. A. Dudek, M. Shabir, M. S. Kang, General
Types of (α, β)-fuzzy ideals of Hemirings, Honam Mathematical J.
32 (2010) 413-439.
56.
M. Irfan Ali, M. Shabir, K. P. Shum, On Soft ideals over
Semigroups, Southeast Asian Bulletin of Mathematics, 34 (2010)
595-610.
57.
M. Shabir, M. Hussain, Fully Fuzzy Idempotent Nearrings,
Southeast Asian Bulletin of Mathematics, 34 (2010) 959-970.
58.
M. Shabir, M. Irfan Ali, Semirings Characterized by Their pIdeals, Southeast Asian Bulletin of Mathematics, 34 (2010) 10951112.
59.
M. Shabir, T. Mahmood, Hemirings characterized by the
properties of their fuzzy ideals with thresholds, Quasigroups and
related Systems, 18 (2010) 195-212.
60.
A. Khan, M. Shabir, Y. B. Jun, Generalized fuzzy Abel
Grassmann’s Groupoids, International Journal of Fuzzy Systems, 12
(2010) 340-349.
61.
M. Shabir, A. Khan, Fuzzy Quasi-ideals of Ordered
Semigroups, Bulletin of the Malaysian Mathematical Sciences
Society, 34 (2011) 87-102.
62.
M. Shabir, T. Mahmood, Characterizations of hemirings by
(є, єvqk)-fuzzy ideals, Computers and Mathematics with
Applications, 61 (2011) 1059-1078.
63.
P. Corosini, M. Shabir, T. Mehmood, Semisimple
Semihypergroups in terms of hyperideals and fuzzy hyperideals,
Iranian Journal of Fuzzy Systems, 8 (2011) 95-111.
64.
M. Shabir, M. Naz, On Soft topological spaces, Computers
and Mathematics with Applications, 61 (2011) 1786-1799.
65. M. Shabir, R. Anjum, Right h-weakly regular hemirings,
Annals of Fuzzy Mathematics and Informatics, 1 No.2 (2011)
171-188.
66. M. I. Ali, M. Shabir, M. Naz, Algebraic structures of soft sets
associated with new operations, Computers and Mathematics
with Applications, 61 (2011) 2647-2654.
67. M. Shabir, T. Mahmood, On Interval valued (α, β)-fuzzy
ideals of hemirings, East Asian Mathematical Journal, 27 (2011)
349-372.
68. M. Shabir, M. S. Arif, M. Bibi, Characterization of Monoids
by the Properties of their Interval-Valued fuzzy Subacts, World
Applied Sciences Journal 13 (11) (2011) 2355-2363.
69. J. Ahsan, Z. K. Liu, M. Shabir, Some Homological
Characterizations of Semigroups and Semirings, Acta
Mathematica Sinica, English Series, 27 (2011) 2065-2072.
70. M. Aslam, M. Shabir, N. Yaqoob, Roughness in left almost
semigroups, Journal of Advanced Research in Pure Mathematics,
Vol 3 (2011) 77-88.
71. M. Shabir, N. Rehman, Characterizations of ternary
semigroups by their anti fuzzy ideals, Annals of Fuzzy
Mathematics and Informatics, Vol. 2 no 2 (2011) 227-238.
72. M. Aslam, M. Shabir, N. Yaqoob, A. Shabir, On rough (m,n)bi-ideals and generalized rough (m,n)-bi ideals in semigroups,
Annals of Fuzzy Mathematics and Informatics, Vol. 2 no 2
(2011) 141-150.
73. M. I. Ali, F. Feng, M. Shabir, A note on (є, єvq)-fuzzy ideals
equivalence relations and indistinguishability operators,
Hacettepe Journal of Mathematics and Statistics Vol. 40 (3)
(2011) 383-400.
74. M. Shabir, Y. Nawaz, M. Aslam, Semigroups characterized
by the properties of their fuzzy ideals with thresholds, World
Applied Sciences Journal 14(2) 1851-8165 (2011)
75. M. Shabir, Y. Nawaz, M. Ali, Characterizations of
semigroups by (є, єvq)-fuzzy ideals, World Applied Sciences
Journal 14(2) 1866-8178 (2011)
1.
2.
3.
4.
Accepted Papers
M. Shabir, T. Mehmood, P. Corsini, Semihyperrings characterized
by their hyperideals, Italian Journal of Pure and Applied
Mathematics.
A. Khan, Y. B. Jun, M. Shabir, A study of generalized fuzzy ideals
in Ordered Semigroups, Neural Computing and Applications.
A. Khan, Y. B. Jun, M. Shabir, N-Fuzzy Bi-ideals in Ordered
Semigroups, Journal of Fuzzy Mathematics.
M. Shabir, T. Mahmood, Characterizations of Hemirings by interval
valued fuzzy ideals, QRS.
5. M. Shabir, M. Shoaib Arif, A. Khan, M. Aslam, On intuitionistic
fuzzy prime bi-ideals of Semigroups, BMMSS.
6. M. Irfan Ali, B. Davvaz, M. Shabir, Generalized fuzzy S-acts and
their characterizations by soft S-acts, Neural computing.
7. M. Shabir, Y. Nawaz, T. Mahmood, Characterizations of hemirings
by (є, єvq)-fuzzy ideals, Neural computing and applications.
8. M. Shabir, N. Rehman, Roughness in Ternary Semigroups,
Quasigroups and Related Systems, Vol 19 no 2 (2011)
9. M. Irfan Ali, M. Shabir, S. Tanvir, Roughness in hemirings,
Neaural computing and Applications.