Background
Proposed idea
Organisation of the paper
Some of the existing actor models of social networks
Generic actor model for a professional social network
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Personally identifiable Information (\(PerI_i\)) of the actor \(a_i\) : \(PerI_i\) is used to identify the actor uniquely. We consider this information as \(PerI_i = \{per_i^1, per_i^2, ..., per_i^n\}\). For example, \(per_i^1 = Name\), \(per_i^2 = address\), \(per_i^3 = IP ~address\), \(per_i^4 = Telephone ~number\), etc.
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Professional Information (\(ProI_i\)) of the actor \(a_i\) : \(ProI_i\) is used to provide profession information of the actor. We recognise this information as \(ProI_i = \{pro_i^1, pro_i^2, ..., pro_i^m\}.\) For example, \(pro_i^1 = education\), \(pro_i^2 = occupation\), \(pro_i^3 = qualification\), \(pro_i^4 = role\), etc.
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Activity (\(Act_i\)) of the actor \(a_i\) : \(Act_i\) is used to provide activity information of the actor. We recognise this information as \(Act_i = \{act_i^1, act_i^2, ..., act_i^p\}\). For example, \(act_i^1 = research\), \(act_i^2 = publications\), etc.
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History (\(Hist_i\)) of the actor \(a_i\) : \(Hist_i\) is used to indicate history of the actor. We consider this information as \(Hist_i = \{hist_i^1, hist_i^2, ..., hist_i^s\}\). For example, \(hist_i^1 = coordination\), \(hist_i^2 = interactions\), etc.
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Social Status (\(SocS_i\)) of the actor \(a_i\) : \(SocS_i\) is used to indicate social information of the actor. We consider this information as \(SocS_i = \{soc_i^1, soc_i^2, ..., soc_i^l\}\). For example, \(soc_i^1 = religion\), \(soc_i^2 = ethnicity\), \(soc_i^3 = class\), \(soc_i^4 = position\), etc.
Characteristic features | Sub characteristics | Set | Weights |
---|---|---|---|
1. Personally identifiable information (PerI) | Name (\(per_i^1\)) | {Name of the actors} | 1 for common name
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Address (\(per_i^2\)) | {Home address of the actors} | 1 for common address
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IP address (\(per_i^3\)) | {0.0.0.0.0.0 to FF.FF.FF.FF.FF.FF} | 1 for common IP address
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Telephone number (\(per_i^4\)) | {Telephone numbers of this actors} | 1 for common
telephone number
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2. Professional Information (ProI) | Education (\(pro_i^1\)) | {PhD, ME, MS, BE, BS} |
\(15 I_{(BS)} + 16 ~I_{(BE)}\)
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\(+ 17 ~I_{(MS)}+ 18 ~I_{(ME)}\)
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\(+ 23 ~I_{(PhD)}\)
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Occupation (\(pro_i^2\)) | {Administration, Banking, Finance, Businessman} |
Exponential weights
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\(~(e^{-x})\)
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Qualification (\(pro_i^3\)) | {Number of years spent n college, equipment handled, courses,conferences} |
Gaussian weights (N(0, 1)) | |
Role (\(pro_i^4\)) | {Provider,collector,manager, security,farmer} |
Ordered exponential
\(weights (e^{x})\)
| |
3. Activity (Act) | Current (\(act_i^1\)) | {Research activity, course, teaching, session conduction, group seminar, meetings} |
Priority
weights
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Past (\(act_i^2\)) | {joint number of publications, research topics undertaken, conference attended, positions held} |
Rank of activity | |
4. History (Hist) | History of actor (\(hist_i\)) | {coordination, interactions, worked on similar project, research similarity, published, papers} |
Gaussian weights (N(0, 1)) |
Weight allocation to the actor’s characteristic features
Relation among actors in a social network
Hierarchical relation among actors
Equivalence relation among actors
Design of an actor for the agriculture social network and museum social network using the GAMPSON
Group | Actor | Characteristic features |
---|---|---|
Scientist (S) | Principal scientist (PS) | {EFG, No.23(BR), 127.36.14.25, 080−4625, PhD and ME, administrator, collector, publications} |
Junior scientist 1 (JS1) | {ABC, No.29(BR), 128.336.12.1, 080−2247, ME, conference, collector, publications} | |
Junior scientist 2 (JS2) | {FGI, No.17(BR), 182.693.25.78, ME, collector, publications} | |
Project assistant 1 (PA1) | {XYZ, 22nd street(BR), 128.258.6.4, 080−5698, BE, conference} | |
Project assistant 2 (PA2) | {HIK, No.102(BR), BE, collector, publications} | |
Senior scientist | {BCD, No.12(BR), PhD, 103.25.16.12, 080−4631, academic, courses, provider, meetings, interaction} | |
Lab helper | {GHI,No.66(BR),interactions,coordination} | |
Lab peon | {ABD, No.130(BR), coordination,} | |
Banker (B) | Bank owner | {CDE, 144th street(DC, 169.48.63.17, 066−4562, banking, administrator, conferences} |
Chairman | {EFL, 132th street(DC), 456.289.27.36, 066−4532, banking, meetings, coordination} | |
Director | {YPR, 122th street(DC), 465.236.59.45, 060−6421, banking, meetings, interactions} | |
CEO | {GPL, 103th street(DC), 456.13.465.44, 060−8456, banking, meetings, interactions} | |
Manager | {NDK, 102th street(DC), 146.23.256.14, 060−4452, banking, manager, coordination} | |
Assistant manager | {AST, 82th street(DC), 198.63.25.163, 060−7896, banking, manager, interactions} | |
Clerk (CL) | {CLK, 12th street(DC), 156.32.256.23, 060−4861, banking, collector, coordination} | |
Peon | {PEO, No.3 block2(DC), provider, interactions} | |
Farmer (F) | Head farmer | {HEF, 15th street(LA), 456.12.354.36, collector, finance} |
Accountant | {CDF, 21st block(LA), 18.25.36.12,080−4697, collector, courses, coordination, hindu} | |
Caretaker | {JFK, 55th street(LA), 080−4972, collector, equipment, handling} | |
Farm manager | {IJK, 43rdavenue(LA), 19.26.55.12,080−7895, finance, meeting,session conduction} | |
Labour (L) | Labourer in charge | {VWX,45th(BR), 080−6348, businessman, coordination, christian} |
Packager | {STU,25th(BR), 080−4589, businessman, interaction} | |
Processor | {LMN, 25th(BR), 080−4561,BE, equipment handling, interactions, christian} | |
Distributor | {ABL, 23rd(BR), 080−1523, businessman, provider, interactions} | |
Seller | {DEF, 55 street(LA), 080−4563, finance, session, conduction, interaction, christian} |
Group | Actor | Characteristic features |
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Group 1 (G1) |
\(a_1G_1\)
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\(\{ABCD, No.1135 (NJ), 168.15.16.13, 084{-}4562, PhD ~and ~ME, christian\}\)
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\(a_2G_1\)
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\(\{BCDE, No.4568 (BR), 166.28.64.211, 097{-}1541, ME, hindu\}\)
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\(a_3G_1\)
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\(\{CDEF, No.8954 (NJ), 186.54.36.12, 145{-}4569, ME, sikh\}\)
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\(a_4G_1\)
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\(\{DEFG, 44nd ~street(DC), 187.36.56.79, 986{-}4568, BE, christian\}\)
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\(a_5G_1\)
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\(\{EFGH, No. 51 (NJ), 142.25.63.78, 965{-}4512, BE, sikh\}\)
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\(a_6G_1\)
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\(\{FGHI, No.57 (BR), 155.36.45.89, 789{-}4563, PhD, christian\}\)
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Group 2 (G2) |
\(a_1G_2\)
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\(\{GHIJ, No.77 (NJ), 146.35.32.14, 147{-}6932, 8th ~std. ~1st ~class, hindu \}\)
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\(a_2G_2\)
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\(\{HIJK, No. 76 (BR), 165.89.7.36, 489{-}1254, 10th ~std. ~2nd ~class, christian\}\)
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\(a_3G_2\)
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\(\{IJKL, 148th ~street (DC), 145.69.85.64, 189{-}1234, 4th ~std. ~2nd ~class, hindu\}\)
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\(a_4G_2\)
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\(\{JKLM, 139th ~street (BR), 136.28.36.14, 478{-}0258, 10th ~std. ~1st ~class, christian\}\)
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\(a_5G_2\)
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\(\{KLMN, 127th ~street (NJ), 168.69.54.36, 741{-}1234, 12th ~std. ~2nd ~class, christian\}\)
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\(a_6G_2\)
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\(\{LMNO, 104th ~street (BR), 178.56.48.97, 982{-}4568, 10th ~std. ~1st ~class, christian\}\)
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Group 3 (G3) |
\(a_1G_3\)
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\(\{MNOP, 118th ~street (NJ), 189.64.85.26, 698{-}4782, 9th ~std. ~2nd ~class, hindu \}\)
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\(a_2G_3\)
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\(\{NOPQ, 87th ~street (BR), 17.95.68.145, 634{-}7451, 6th ~std. ~1st ~class, christian\}\)
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\(a_3G_3\)
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\(\{OPQR, 82th ~street (DC), 173.59.86.124, 742{-}1453, 11th ~std. ~3rd ~class, christian\}\)
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\(a_4G_3\)
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\(\{PQRS, No.31 ~block2 (DC), 148.56.42.29, 486{-}1287, 4th ~std. ~1st ~class, hindu\}\)
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\(a_5G_3\)
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\(\{QRST, 19th ~street (LA), 147.65.35.42, 489{-}1784, 3rd ~std. ~1st ~class, christian \}\)
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\(a_6G_3\)
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\(\{RSTU, 53st ~block (LA), 376.45.25.41, 965{-}1854, BE, sikh\}\)
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Group 4 (G4) |
\(a_1G_4\)
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\(\{STUV, 47th ~street (LA), 192.36.54.89, 789{-}9856, 12th ~std. ~2nd ~class, christian\}\)
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\(a_2G_4\)
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\(\{TUVW, 23rd avenue (NJ), 193.45.68.25, 863{-}1789, 8th ~std. ~1st ~class, christian\}\)
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\(a_3G_4\)
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\(\{UVWX, 44th (BR), 183.63.25.15, 983{-}4856, ME, hindu\}\)
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\(a_4G_4\)
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\(\{VWXY, 88th (DC), 178.69.58.46, 489{-}6523, 5th ~std. ~1st ~class, hindu\}\)
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\(a_5G_4\)
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\(\{WXYZ, 47th (BR), 178.64.25.14, 685{-}2645, BE, christian\}\)
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\(a_6G_4\)
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\(\{XYZA, 63rd (DC), 179.45.68.25, 698{-}7845, 12th ~std. ~2nd ~class, christian\}\)
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\(a_7G_4\)
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\(\{YZAB, 41 ~street (LA), 188.68.56.57, 687{-}1512, 10th ~std. ~1st ~class, hindu\}\)
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Relation among actors in the agriculture social network
Actors | Common characteristic features | Weight of actors | Relation among actors |
---|---|---|---|
1. PS
and
JS1 |
\(pro_{PS}^1 = PhD = 23,\, pro_{JS1}^1 = ME = 18,pro_{PS}^4 = pro_{JS1}^4 = collector = e^2,act_{PS}^2 = act_{JS1}^2 = publications = 2\)
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\(W_{PS} = 8.0972,\;W_{JS1} = 6.8472\)
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\(W_{PS} > W_{JS1}\) Hierarchical relation |
2. PS and
JS2 |
\(pro_{PS}^1 = PhD = 23,\, pro_{JS2}^1 = ME = 18,pro_{PS}^4 = pro_{JS2}^4 = collector = e^2,act_{PS}^2 = act_{JS2}^2 = publications = 2\)
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\(W_{PS} = 8.0972,\)
\(W_{JS2} = 6.8472\)
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\(W_{PS} > W_{JS2}\) Hierarchical relation |
3. JS1 and
JS2 |
\(pro_{JS1}^1 = pro_{JS2}^1 = ME = 18,pro_{JS1}^4 = pro_{JS2}^4 = collector = e^2,act_{JS1}^2 = act_{JS2}^2 = publications = 2\)
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\(W_{JS1} = 6.8472,\)
\(W_{JS2} = 6.8472\)
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\(W_{JS1} = W_{JS2}\)Equivalence relation |
4. JS1 and
PA1 |
\(pro_{JS1}^1 = ME = 18, \,pro_{PA1}^1 = BE = 16,pro_{JS1}^3 = pro_{PA1}^3 = conference = 0.8632\)
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\(W_{JS1} = 4.7158,\)
\(W_{PA1} = 4.2158\)
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\(W_{JS1} > W_{PA1}\) Hierarchical relation |
5. JS2 and PA2 |
\(pro_{JS2}^1 = ME = 18,\, pro_{PA2}^1 = BE = 16,pro_{JS2}^4 = pro_{PA2}^4 = collector = e^2,act_{JS2}^2 = act_{PA2}^2 = publications = 2\)
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\(W_{JS2} = 6.4097\), \(W_{PA2} = 6.3472\)
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\(W_{JS2} > W_{PA2}\) Hierarchical relation |
Hierarchical relation among actors in the agriculture social network
Equivalence relation among actors in the agriculture social network
Relation among actors in the museum social network
Actors | Common characteristic features | Weight of actors | Relation among actors |
---|---|---|---|
1. \(a_1G_1\) and \(a_2G_1\)
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\(pro_{a_1G_1}^1 = PhD = 23,pro_{a_2G_1}^1 = ME = 18\)
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\(W_{a_1G_1} = 5.75,\; W_{a_2G_1} = 4.5\)
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\(W_{a_1G_1} > W_{a_2G_1}\) Hierarchical relation |
2. \(a_1G_1\) and \(a_3G_1\)
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\(pro_{a_1G_1}^1 = PhD = 23,pro_{a_3G_1}^1 = ME = 18\)
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\(W_{a_1G_1} = 5.75,\; W_{a_3G_1} = 4.5\)
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\(W_{a_1G_1} > W_{a_3G_1}\) Hierarchical relation |
3. \(a_2G_1\) and \(a_3G_1\)
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\(pro_{a_2G_1}^1 = pro_{a_3G_1}^1= ME = 18\)
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\(W_{a_2G_1} = 4.5,\; W_{a_3G_1} = 4.5\)
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\(W_{a_2G_1} = W_{a_3G_1}\) Equivalence relation |
4. \(a_2G_1\) and \(a_4G_1\)
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\(pro_{a_2G_1}^1 = ME = 18,pro_{a_4G_1}^1 = BE = 16\)
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\(W_{a_2G_1} = 4.5,\; W_{a_4G_1} = 4\)
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\(W_{a_2G_1} > W_{a_4G_1}\) Hierarchical relation |
5. \(a_3G_1\) and \(a_5G1\)
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\(pro_{a_3G_1}^1 = ME = 18,pro_{a_5G1}^1 = BE = 16\)
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\(W_{a_3G_1} = 4.5,\; W_{a_5G1} = 4\)
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\(W_{a_3G_1} > W_{a_5G1}\) Hierarchical relation |
Simulation environment
Simulation Results
GAMPSON (%) | ICT (%) | Stochastic (%) | |
---|---|---|---|
1. % of accuracy (for ASN) | 83–89 | 6–72 | 50–68 |
2. % of accuracy (for MSN) | 71–82 | 58–68 | 54 –65 |
3. % of accuracy (for ASN to MSN) | 71– 82 | 51– 64 | 48 –61 |
4. % of accuracy (for MSN to ASN) | 58–77 | 52– 62 | 45 –61 |
Neighbourhood | ||||||
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | |
1. Variation of relation over neighbourhood (for ASN) | ||||||
GAMPSON | 0.58 | 0.34 | 0.26 | 0.18 | 0.11 | 0.03 |
ICT | 0.54 | 0.25 | 0.16 | 0.09 | 0.05 | 0.02 |
Stochastic | 0.49 | 0.22 | 0.11 | 0.09 | 0.04 | 0.01 |
2. Variation of relation over neighbourhood (for MSN) | ||||||
GAMPSON | 0.56 | 0.33 | 0.25 | 0.16 | 0.10 | 0.02 |
ICT | 0.51 | 0.27 | 0.22 | 0.12 | 0.06 | 0.01 |
Stochastic | 0.45 | 0.22 | 0.19 | 0.06 | 0.01 | 0.001 |
3. Variation of relation over neighbourhood (ASN to MSN) | ||||||
GAMPSON | 0.53 | 0.33 | 0.23 | 0.15 | 0.08 | 0.01 |
ICT | 0.49 | 0.24 | 0.11 | 0.06 | 0.02 | 0.01 |
Stochastic | 0.42 | 0.21 | 0.07 | 0.02 | 0.01 | 0.001 |
4. Variation of relation over neighbourhood (MSN to ASN) | ||||||
GAMPSON | 0.52 | 0.31 | 0.23 | 0.14 | 0.06 | 0.01 |
ICT | 0.43 | 0.26 | 0.14 | 0.10 | 0.04 | 0.01 |
Stochastic | 0.36 | 0.21 | 0.11 | 0.05 | 0.01 | 0.001 |