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Akram, Muhammad
- Intuitionistic Fuzzy Soft Groups Induced by (t, s)-norm
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Authors
Affiliations
1 Department of Mathematics, Quaid-i-Azam University, Islamabad, PK
2 Department of Mathematics, University of Gujrat, Gujrat, PK
1 Department of Mathematics, Quaid-i-Azam University, Islamabad, PK
2 Department of Mathematics, University of Gujrat, Gujrat, PK
Source
Indian Journal of Science and Technology, Vol 6, No 4 (2013), Pagination: 4282-4289Abstract
This article concerns the relationship between intuitionistic fuzzy soft sets and groups. In this paper, the notion of intuitionistic fuzzy soft groups is introduced and (λ, θ )-level set, union and intersection of them are studied. Furthermore, definition of direct product of intuitionistic fuzzy soft group under soft function is defined.Keywords
Soft Sets, Intuitionistic Fuzzy Soft Sets, Intuitionistic Fuzzy Soft GroupsFull Text
References
- Abdullah S, Davvaz B et al. (2011). (,)ab-intuitionistic fuzzy ideals of hemirings, Computers & Mathematics with Applications, vol 62(8), 3077-3090.
- Abdullah S, Aslam M et al. (2012). Direct product of finite fuzzy subsets of LA-semigroups, Annals of Fuzzy Mathematics and Informatics, vol 3(2), 281-292.
- Abdullah S, Satyanarayana B et al. (2012). Direct product of intuitionistic fuzzy H-ideal in BCK-algebras, International Journal of Algebra and Statistics, vol 1(1), 8-16.
- Abdullah S, Aslam M et al. (2012). A new type of fuzzy normal subgroups and fuzzy cosets, Journal of Intelligent and Fuzzy Systems, DOI 10.3233/IFS-2012-0612.
- Akram M, and Dar KH (2007). Fuzzy left h-ideal in hemirings with respect to a s-norm, International Journal of Computational and Applied Mathematics, vol 1, 7-14.
- Akram M (2007). Intuitionistic (S, T )-fuzzy Lie ideals of Lie algebras, Quasigroups Related Systems, vol 15, 201-218.
- Aktas H, and Cagman N (2007). Soft sets and soft groups, Information Sciences, vol 177(13), 2726-2735.
- Ali M I, and Shabir M (2009). Soft ideals and generalized fuzzy ideals in semigroups, New Mathematics and Natural Computation, vol 5(3), 599-615.
- Ali M I, Feng F et al. (2009). On some new operations in soft set theory, Computers & Mathematics with Applications, vol 57(9), 2621-2628.
- Atanassov K T (1986). Intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol 20(1), 87-96.
- Atanassov K T (1999). Intuitionistic fuzzy sets, Physica-Verlag, Heidelberg, New York.
- Aygunoglu A, Varol B P et al. (2012). Interval-valued intuitionistic fuzzy subgroups based on interval-valued double t-norm, Neural Computing and Applications, vol 21(1), 207-214.
- Aygunoglu A, and Aygun H (2009). Introduction to fuzzy soft groups, Computers & Mathematics with Applications, vol 58(6), 1279-1286.
- Saeid A B, and Rezaei A (2012). Intuitionistic (T, S)-fuzzy CI-algebras, Computers & Mathematics with Applications, vol 63, 158-166.
- Feng F, Jun YB et al. (2008). Soft semirings, Computers & Mathematics with Applications, vol 56(10), 2621-2628.
- Hedayati H (2012). Intuitionistic (S, T ) -fuzzy (1, 2) -ideals of semigroups with interval valued membership functions, International Journal of Fuzzy Systems vol 14(1), 154-159.
- Jun Y B (2008). Soft BCK/BCI-algebras, Computers & Mathematics with Applications, vol 56(5), 1408-1413.
- Kim K H, and Lee J G (2008). Intuitionistic (T, S) -normed fuzzy ideals of Γ-rings, International Mathematical Forum, vol 3(3), 115-123.
- Maji P K, Biswas R et al. (2001). Intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics, vol 9(3), 677-692.
- Maji P K, Roy A R et al. (2004). On intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics, vol 12(3), 669-683.
- Maji PK, Biswas R and Roy AR (2001). Fuzzy soft sets, Journal of Fuzzy Mathematics, vol 9(3), 589-602.
- Molodtsov D (1999). Soft set theory first results, Computers & Mathematics with Applications, vol 37(4-5), 19-31.
- Nguyen H T, and Walker E A (2006). A First Course in Fuzzy Logic, 3rd Edn, Chapman and Hall/CRC Taylor and Francis Group.
- Shum K P, and Akram M (2008). Intuitionistic (T, S) -fuzzy ideals of near-rings, Journal of Algebra Discrete Structures, vol 6(1), 37-52.
- Yaqoob N, Aslam M et al (2012). On soft Γ-hyperideals over left almost Γ-semihypergroups, Journal of Advanced Research in Dynamical and Control Systems vol 4(1), 1-12.
- Yaqoob N, Mostafa S M et al. (2013). On cubic KU-ideals of KU-algebras, ISRN Algebra, Article ID 935905, 10 pages.
- Yaqoob N, Aslam M et al. (2012). Structures of N-G-hyperideals in left almost G-semihypergroups, World Applied Sciences Journal vol 17(12), 1611-1617.
- Yaqoob N, Aslam M et al. (2012). Rough fuzzy hyperideals in ternary semihypergroups, Advances in Fuzzy Systems, Article ID 595687, 9 pages.
- Zhan J (2005). On properties of fuzzy left h-ideals in hemirings with t-norms, International Journal of Mathematics and Mathematical Sciences, vol 2005(19), 3127-3144.
- Intuitionistic Fuzzy Prime Bi-Ideals of Ternary Semigroups
Abstract Views :277 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, University of Gujrat, Gujrat, PK
2 Department of Applied Mathematics, Amity University, Noida, IN
1 Department of Mathematics, University of Gujrat, Gujrat, PK
2 Department of Applied Mathematics, Amity University, Noida, IN
Source
International Journal of Fuzzy Mathematics and Systems, Vol 2, No 2 (2012), Pagination: 179–190Abstract
In this paper we introduce the notion of intuitionistic fuzzy prime, strongly prime, semiprime bi-ideals in ternary semigroup and look for some of their related characteristics. Also here we introduce irreducible and strongly irreducible intuitionistic fuzzy bi-ideals in a ternary semigroup.
AMS subject classification: 20N10, 20M12, 04A72.
Keywords
Ternary Semigroup, Intuitionistic Fuzzy Set, Intuitionistic Fuzzy Bi-ideal, Intuitionistic Fuzzy Prime (strongly Prime, Semiprime, Irreducible And Strongly Irreducible) bi-ideals
References
- K. T. Atanassaov, Intuitionistic fuzzy sets, Fuzzy sets and Systems 20(1986)87–96
- K. T. Atanassaov, New operations defined over the intuitionistic fuzzy sets, Fuzzy sets and Systems 61(1994)137–172.
- K. T. Atanassaov, Intuitionistic fuzzy sets, Theory and Applications Studies in Fuzziness and Soft Computing, Vol. 35, Physica-Verlag, Heidelberg, 1999.
- K. H. Kim andY.B. Jun, Intuitionistic fuzzy ideals of semigroups, Indian J. of Pure and Applied Math. 33(4)(2002)443–449.
- K. H. Kim andY.B. Jun, Intuitionistic fuzzy interior ideals of semigroups, Inter. J. of Math. and Mathematical Sci.27(5)(2001)261–267.
- K. H. Kim and J.G. Lee, On intuitionistic fuzzy bi-ideals of semigroups, Turk. J. Math. 29(2005)201–210.
- D. H. Lehmer, A ternary analogue of abelian groups, Amer. J. Math. (1932)329– 338.
- S.Lekkoksung, Intuitionistic fuzzy bi-ideals of ternary semigroups, (Accepted) International Mathematical Forum, Vol.7(8)(2012)385-389.
- M. Shabir, M.S.Arif, A. Khan and M.Aslam, On intuitionistic fuzzy prime bi-ideals of semigroups, (Accepted for Bull. Malays. Math. Sci. Soc.).
- M. Shabir and M. Bano: Prime bi-ideals in ternary semigroups, Quasigroups and Related Systems, 16 (2008)239–256.
- L. A. Zadeh, Fuzzy sets, Information and Control, 8(1965)338–353.
- Interval Valued Intuitionistic (S, T)- Fuzzy Ideals of Ternary Semigroups
Abstract Views :620 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, PK
2 Department of Mathematics, Higher College of Technology, Muscat, OM
3 Department of Mathematics, Abdul Wali Khan University, Mardan, PK
1 Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, PK
2 Department of Mathematics, Higher College of Technology, Muscat, OM
3 Department of Mathematics, Abdul Wali Khan University, Mardan, PK
Source
Indian Journal of Science and Technology, Vol 6, No 11 (2013), Pagination: 5418–5428Abstract
In this paper, the concept of interval valued intuitionistic fuzzy ternary subsemigroup (ideal) of a ternary semigroup with respect to interval t-norm T and interval t-conorm S is given and the characteristic properties are described. We characterized some other classes of ternary semigroups by the properties these interval valued intuitionistic fuzzy ternary subsemigroup (ideal) of a ternary semigroup. The homomorphic image and inverse image are also investigated.Keywords
Ternary Semigroups, Interval Valued Intuitionistic (S, T)- Fuzzy Ternary Subsemigroups (Ideals)Full Text
References
- Lehmer D H (1932). A ternary analogue of Abelian groups, American Journal of Mathematics, vol 52(2), 329–338.
- Sioson F M (1965). Ideal theory in ternary semigroups, Mathematica Japonica, vol 10, 63–84.
- Dixit V N, and Dewan S (1995). A note on quasi and bi-ideals in ternary semigroups, International Journal of Mathematics and Mathematical Sciences, vol 18(3), 501–508.
- Iampan A (2007). Lateral ideals of ternary semigroups, Ukrainian Mathematical Bulletin, vol 4, 517–526.
- Zadeh L A (1965). Fuzzy sets, Information and Control, vol 8, 338–353.
- Kuroki N (1979). Fuzzy bi-ideals in semigroups, Commentarii Mathematici Universitatis Sancti Pauli, vol 28, 17–21.
- Kuroki N (1981). On fuzzy ideals and fuzzy bi-ideals in semigroups, Fuzzy Sets and Systems, vol 5(2), 203–215.
- Mordeson J N, Malik D S et al.(2003). Fuzzy semigroups, Springer-Verlag Berlin Heidelberg, 307.
- Kar S, and Sarkar P (2012). Fuzzy ideals of ternary semigroups, Fuzzy Information and Engineering, vol 4(2), 181–193.
- Yaqoob N, Aslam M et al. (2012). Rough fuzzy hyperideals in ternary semihypergroups, Advances in Fuzzy Systems, vol 2012.
- Abdullah S, Davvaz B et al. (2011). (,)αb-intuitionistic fuzzy ideals in hemirings, Computers and Mathematics with Applications, vol 62(8), 3077–3090.
- Abdullah S, Aslam M et al. (2013). A new type of fuzzy normal subgroup and fuzzy coset, Journal of Intelligent and Fuzzy Systems, vol 25(1), 37–47.
- Abdullah S (2013). On intuitionistic fuzzy Γ-ideals of Γ-LA-semigroups, Annals of Fuzzy Mathematics and Informatics, vol 6(1), 17–31.
- Ahmad A, Aslam M et al. (2013). Interval valued (,)αb-fuzzy hyperideals of semihyperring, UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, vol 75(2), 69–86.
- Ahmed A, Aslam M et al. (2012). (,)αb-fuzzy hyperideals of semihyperring, World Applied Sciences Journal, vol 18(11), 1501–1511.
- Aslam M, Abdullah S et al. (2012). Rough M-hypersystems and Fuzzy M-hypersystems in Γ-semihypergroups, Neural Computing and Applications, vol 21(1), 281–287.
- Aslam M, Abdullah S et al. (2013). Characterization of regular LA-semigroups by interval-valued (,)αb-fuzzy ideals, Afrika Matematika, 1–18, doi: 10.1007/s13370-012-0130-6.
- Yaqoob N, Chinram R et al. (2013). Left almost semigroups characterized by their interval valued fuzzy ideals, Afrika Matematika, vol 24(2), 231–245.
- Yaqoob N, Akram M et al. (2013). Intuitionistic fuzzy soft groups induced by (t,s)-norm, Indian Journal of Science and Technology, vol 6(4), 4282–4289.
- Akram M, and Yaqoob N (2013). Intuitionistic fuzzy soft ordered ternary semigroups, International Journal of Pure and Applied Mathematics, vol 84(2), 93–107.
- Khan A, Khan F W et al. (2013). Ordered LA-semigroups in terms of interval valued fuzzy ideals, Journal of Advanced Research in Pure Mathematics, vol 5(1), 100–117.
- Yousafzai F, Yaqoob N et al. (2012). A note on intuitionistic fuzzy Γ-LA-semigroups, World Applied Sciences Journal, vol 19(12), 1710–1720.
- Yaqoob N, Aslam M et al. (2012). Structures of N-Γ-hyperideals in left almost Γ-semihypergroups, World Applied Sciences Journal, vol 17(12), 1611–1617.
- Faisal, Yaqoob N et al. (2012). On fuzzy (2,2)-regular ordered Γ-AG**-groupoids, UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, vol 74(2), 87–104.
- Atanassov K T (1986). Intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol 20, 87–96.
- Atanassov K T (1994). New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol 61(2), 137–142.
- Atanassov K T, (1994). Operators over interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol 64(2), 159–174.
- Atanassov K T, and Gargov G (1989). Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol 31(3), 34–349.
- Kim K, and Jun Y B (2002). Intuitionistic fuzzy ideals of semigroups, Indian Journal of Pure and Applied Mathematics, vol 33(4), 443–449.
- Kim K H, and Lee J G (2005). On intuitionistic fuzzy bi-ideals of semigroups, Turkish Journal of Mathematics, vol 29(2), 202–210.
- Kim K H, and Lee J G (2008). Intuitionistic (T,S) normed fuzzy ideals of Γ-rings, International Mathematical Forum, vol 3(3), 115–123.
- Gujin W, and Xiapping L (1996). Interval-valued fuzzy subgroups induced by T-triangular norms, Busefal, vol 65, 80–84.
- Akram M, and Dar K H (2007). Fuzzy left h-ideal in hemirings with respect to a s-norm, International Journal of Computational and Applied Mathematics, vol 1(2), 7–14.
- Zhan J (2005). On properties of fuzzy left h-ideals in hemirings with t-norms, International Journal of Mathematics and Mathematical Sciences, vol 19, 3127–3144.
- Akram M (2007). Intuitionistic (S,T)-fuzzy Lie ideals of Lie algebras, Quasigroups and Related Systems, vol 15(2), 201–218.
- Aygunoglu A, Varol B P et al. (2012). Interval-valued intuitionistic fuzzy subgroups based on interval-valued double t-norm, Neural Computing and Applications, vol 21(1), 207–214.
- Davvaz B, and Fotea V L (2009). Applications of interval valued fuzzy n-ary polygroups with respect to t-norms (t-conorms), Computers and Mathematics with Applications, vol 57(8), 1413–1424.
- Davvaz B, Corsini P et al. (2009). Atanassov’s intuitionistic (S,T)-fuzzy n-ary sub-hypergroups and their properties, Information Sciences, vol 179(5), 654–666.
- Davvaz B (2005). Characterizations of sub-semihypergroups by various triangular norms, Czechoslovak Mathematical Journal, vol 55(4), 923–932.
- Dudek W A, Zhan J et al. (2008). Intuitionistic (S,T)-fuzzy hyperquasigroups, Soft Computing, vol 12(12), 1229–1238.
- Hedayati H (2009). Interval valued intuitionistic (S,T)-fuzzy substructures in semirings, International Mathematical Forum, vol 4(6), 293–301.
- Hedayati H (2012). Intuitionistic (S,T)-fuzzy (1,2)-ideals of semigroups with interval valued membership functions, International Journal of Fuzzy Systems, vol 14(1), 154–159.
- Hedayati H (2011). Equivalence relations on the set of implicative interval-valued intuitionistic (T,S)-fuzzy filters of pseudo-BL algebras, Journal of Multiple-Valued Logic and Soft Computing, vol 17(5–6), 443–458.
- Lee J G, and Kim K H (2008). Interval valued intuitionistic (,)**ST-fuzzy ideals of subtraction algebras, International Mathematical Forum, vol 4(46), 2281–2291.
- Shum K P, and Akram M (2008). Intuitionistic (T,S)-fuzzy ideals of near-rings, Journal of Algebra and Discrete Structures, vol 6(1), 37–52.
- Zhan J, and Dudek W A (2006). Interval valued intuitionistic (S,T)-fuzzy Hv-submodules, Acta Mathematica Sinica, English Series, vol 22, 963–970.
- Zhan J, and Davvaz B (2008). On properties of fuzzy Hv-submodules of Hv-modules with t-norms, Southeast Asian Bulletin of Mathematics, vol 32(4), 805–822.
- Xiapping L, and Gujin W (2000). The SH interval-valued fuzzy subgroups, Fuzzy Sets and Systems, vol 112(2), 319–325.
- Mondal T K, and Samantha S K (1999). Topology of interval-valued fuzzy sets, Indian Journal of Pure and Applied Mathematics, vol 30(1), 23–38.
- Mondal T K, and Samantha S K(2001) Topology of interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol 119(3), 483–494.
- Intuitionistic Fuzzy Logic Control for Washing Machines
Abstract Views :208 |
PDF Views:0
Authors
Affiliations
1 University of the Punjab, Old Campus, Lahore-54000, PK
2 Punjab University College of Information Technology, University of the Punjab, Old Campus, Lahore-54000, PK
1 University of the Punjab, Old Campus, Lahore-54000, PK
2 Punjab University College of Information Technology, University of the Punjab, Old Campus, Lahore-54000, PK
Source
Indian Journal of Science and Technology, Vol 7, No 5 (2014), Pagination: 654-661Abstract
In this paper, we describe the development of an intuitionistic fuzzy logic controller for washing machine on the basis of intuitionistic fuzzy systems. Intuitionistic fuzzy inference systems and defuzzification techniques are used to obtain crisp output (i.e., wash time of the washing machine) from an intuitionistic fuzzy input (i.e., type of dirt and degree of dirt). The wash time is calculated using intuitionistic fuzzy rules applied to an inference engine using defuzzification methods.Keywords
Defuzzification, Intuitionistic Fuzzy Logic, Intuitionistic Fuzzy Logic Controller, Intuitionistic Fuzzy Sets Mathematics Subject Classification: 93C42Full Text
- Characterization of Bipolar Fuzzy Soft Ã-semigroups
Abstract Views :179 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics and Statistic, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Johor, MY
1 Department of Mathematics and Statistic, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Johor, MY
Source
Indian Journal of Science and Technology, Vol 7, No 8 (2014), Pagination: 1211-1221Abstract
This paper deals with the idea of bipolar fuzzy soft sets applied to the ideal theory of τ-semigroups. We have introduced the concept of bipolar fuzzy soft τ-subsemigroup and bipolar fuzzy soft τ-ideals in a τ-semigroup. It is proved that the extended union, extended intersection, restricted union and restricted intersection of two same kind bipolar fuzzy soft τ-ideals over a τ-semigroup produced a same kind's bipolar fuzzy soft τ-ideal. Also the "AND" and "OR" operations of two bipolar fuzzy soft Ã-ideals produced a same type's bipolar fuzzy soft τ-ideal. It is also proved that the collection of all bipolar fuzzy soft τ-ideals over a τ-semigroup forms a complete distributive lattice with these special unions and intersections.Keywords
Bipolar Fuzzy Soft Set, Bipolar Fuzzy Soft τ-subsemigroup, Bipolar Fuzzy Soft τ-ideals.Full Text
- Antifungal and Antibacterial Activities of Substituted Benzyl 4-Ketohexanoates
Abstract Views :246 |
PDF Views:0
Authors
Muhammad Iqbal
1,
Muhammad Akram
2,
Muhammad Qaisar
2,
Yousaf Ali
2,
Hina Fazal
2,
Imam Bakhsh Baloch
1,
Musa Kaleem Baloch
3,
Ghulam Mustafa
4
Affiliations
1 Institute of Chemical Sciences, Gomal University, Dera Ismail Khan, KPK, PK
2 Medicinal Botanic Centre, PCSIR Laboratories Complex Peshawar, PK
3 University of Sargodha, Punjab, PK
4 Faculty of Pharmacy, Gomal University, Dera Ismail Khan, KPK, PK
1 Institute of Chemical Sciences, Gomal University, Dera Ismail Khan, KPK, PK
2 Medicinal Botanic Centre, PCSIR Laboratories Complex Peshawar, PK
3 University of Sargodha, Punjab, PK
4 Faculty of Pharmacy, Gomal University, Dera Ismail Khan, KPK, PK
Source
Indian Journal of Science and Technology, Vol 9, No 44 (2016), Pagination:Abstract
Present study describes antifungal and antibacterial screening of the previously synthesized novel substituted benzyl 4-ketohexanoates (1-17) against two fungi and two bacteria. All of the substituted benzyl 4-ketohexanoates exhibited antimicrobial activities in terms of inhibition zones and Minimum Inhibitory Concentrations (MICs). Halogens substituted benzyl 4-ketohexanoates in general and Iodinated analogues showed maximum activity in terms of inhibitions zones as well as MICs.Keywords
Antibacterial, Antifungal, Benzyl 4-ketohexanoates, MICs, Zones of Inhibition.Full Text