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On Hesitant Fuzzy Hypergraphs

Thesis Info

Author

Mubeen Amjed

Supervisor

Muhammad Sarwar Kamran; Muhammad Shabir

Program

Mphil

Institute

Riphah International University

Institute Type

Private

City

Islamabad

Country

Pakistan

Thesis Completing Year

2015

Thesis Completion Status

Completed

Page

83 . : ill. ; 30 cm. +CD

Subject

Mathematics

Language

English

Other

Submitted in fulfillment of the requirements for the degree of Master of Philosophy to the Department of Basic Sciences.; Includes bibliographical references; Thesis (M.Phil)--Riphah International University, 2015; English; Call No: 511.5 MUB

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676711289346

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سپ تے فقیر

سپ تے فقیر

کسے پنڈ وچ اک فقیر رہندا سی۔ بہت غریب سی، اوہدا تے اوہدے گھر والی دا گزارہ خیرات والیاں چیزاں اتے ای ہوندا سی۔ اک دن اوہناں کول کھاون لئی کجھ وی نئیں سی۔ ایس لئی اوہ سویرے سویرے ای بھیک منگن ٹر پیا۔ فقیر کول اک کپڑے دا تھیلہ سی جس وچ اوس نے اک لوٹا تے اک کجہ رکھیا ہویا سی۔ کجے وچ وی اوہ لوکاں ولوں ملیا سالن پاندا تے لوٹے وچ پانی پا کے ضرورت ویلے پیندا سی۔ ہتھ وچ اوہ ہمیشہ سوٹی رکھدا سی۔ رستے وچ جاندے ہویاں اوس نوں اک سپ نظر آیا۔ اوس نے بہت تیزی نال سپ نوں کجے وچ بند کیتا۔ اوس دا منہ کپڑے نال بند کر کے اپنی بیوی نوں دے دتا۔ اوس نوں یقین سی کہ جدوں اوہدی بیوی کجہ کھولے گی تاں سپ اوس نوں ڈنگ مارے گا تے انج اوہ مر جاوے گی۔ جدوں اوس دی بیوی نے کجے دا منہ کھولیا تاں اوس نوں اندروں اک بہت قیمتی ہار ملیا۔ ایہہ ویکھ کے دونویں بہت حیران ہوئے۔

ایس خوبصورت ہار دی شہرت جدوں شہزادی تائیں اپڑی تاں اوس نے ہار ویکھن دی خواہش دا اظہار کیتا۔ ہار ویکھ کے شہزادی نے اوہناں نوں منہ منگے پیسے دے کے ہار خرید لیا۔ شہزادی ہار خرید کے بہت خوش سی۔ اک دن اوس ہار اپنے میز اتے رکھیا تے آپ کسے کم محل توں باہر چلے گئی۔ واپس آئی تاں اوس نوں حیرت ہوئی کہ میز اتے ہار نئیں بلکہ اک سوہنا جیہا بال منہ وچ انگوٹھا پا کے ستا ہویا اے۔ پہلاں تاں شہزادی بہت ڈری۔ وزیر نے آکھیا کہ تہاڈا ہار جادو دا ہار سی۔ دراصل اوہ ایہو بچہ سی جس نوں ظالم جادوگر نے ہار بنا دتا سی۔ ہن ایہہ دوبارہ اپنی...

موجودہ وبائی ماحول میں عسل کی طبی افادیت جدیدسائنس اور اسلامی تعلیمات کی روشنی میں

 Honey is an unparalleled treasure of medicinal properties. Honey has the ability to strengthen the human body's immune system. Therefore, the use of honey and other natural foods is extremely beneficial and effective in current epidemic environment. Honey is one of the most appreciated and valued natural blessing of Allah for human being. Medicinal importance of honey hase been described in Holy Quran. Holy prophet (SAW) has advised to use honey because honey provides body instant energy. There are several varieties of honey are found in different areas of the world. Honey has been taken for research because of its nutritional popularity and medicinal quality. Honey is high in important nutrients of benefits and uses. Honey contains carbohydrates, vitamins, minerals and a significant amount of fiber. Nutrients of honey can improve digestive system by preventing constipation. Immunity system can be improved by using honey in epidemic environment. Honey is a source of fructose, which does not harm patients of diabetes. The fructose makes a better substitute for sugar because of the fiber, nutrients and antioxidants. Honey is comprised of several minerals including phosphorus, iron, potassium, calcium and magnesium. Honey has very small amount of protein and fats. This research paper analyzes ingredients and minerals of honey in Islamic perspective. The research work highlights medical benefits of honey in the light of modern science and Islamic teachings in the current epidemic environment.

Energy Efficiency in Wireless Sensor Networks Using Collaborative Communication in Wideband Channels

Wireless Sensor Network (WSN) consists of a large number of tiny sensor nodes capable of being deployed in a range of environments in random or regular fashion. These networks are getting attention of the research community due their broad application domain. They can be applied in many fields like health care, homes, military, environment monitoring or in any commercial environment. Due to resource constrained nature of the nodes, these networks need energy efficient solutions. Since a network operation is many times more expensive than local operation, therefore very efficient and highly adaptable communication systems need to be developed for these networks in order to increase a node’s life time. To avoid resource limitation and achieve energy efficiency collaborative communication combines the power of multiple sensor nodes to transmit the same data at the same time to a base station. This research focuses on energy efficiency in Body Area Networks, sensor networks with multipath and wideband channels. All these models are investigated in the presence of Rayleigh Fading Additive White Gaussian Noise (AWGN). The received signals from collaborative nodes at the base station are considered to be out-of-phase (imperfect phase synchronization). The ultimate goal is to investigate the effect of collaborative communication on energy efficiency, channel capacity gain, received power, BER in Wireless Sensor Networks using narrow-band, multipath and wideband channels. A synchronization process is designed to reduce the phase and frequency synchronization errors among the transmitter (Collaborative) nodes and the receiver (base station). A theoretical model for unsynchronized phase using collaborative communication in the presence of Additive White Gaussian Noise (AWGN) and Rayleigh fading is proposed, analyzed and simulated. The performance of collaborative communication system is evaluated by investigating several figures of merits including “received power”, “BER”, “energy efficiency” and “channel capacity”. The theoretical findings of collaborative communication system are verified using Monte Carlo simulation by considering the parameters of “off-the-shelf” products i.e. “CC2420” and “AT86RF212”. Theoretical analysis of the derived models for received power gain, BER, energy efficiency and capacity gain show that an increase in the number of collaborative nodes also increases the gain in received power and capacity of the system whereas inversely effect BER. Simulation results for phase error intervals f?0:1 0:1g; f?0:2 0:2g; f?0:3 0:3g and f?0:4 0:4g in case of BAN show a 0:475N2 to 0:8N2 gain in received power whereas to achieve a BER of 10?3, the required transmited power decreases from 12:5dB to 10dB with an increase Anwar Ghani: 70-FBAS/PHDCS/F11 Page viii of 153 in the number of nodes from 5 to 11 over the phase error interval f?0:2 0:2g. This required power to achieve the desired BER raises 15dB to 12:5dB in case of phase error f?0:4 0:4g. In multipath communication the gain in received power improves from 0:49N2 to 0:83N2 whereas required power for BER of 10?3 in case of f?0:1 0:1g decreases from 10dB to 7:5dB and for f?0:3 0:3g the decrease is from 12dB to 9dB. In case of wideband communication the gain in received power ranges from 0:51N2 to 0:93N2 and the required power for BER of 10?3 for single node is 7:5dB and for nodes from 5 to 11 it is 3dB to 2dB. For trade-off-analysis of energy saving and transmission distances performed for off-the-shelf devices “CC2420” and “AT86RF212”, shows in all scenarios “CC2420” stabilizes before “AT86RF212”. On the basis of these results it can be concluded that collaborative communication is energy efficient and suitaWireless Sensor Network (WSN) consists of a large number of tiny sensor nodes capable of being deployed in a range of environments in random or regular fashion. These networks are getting attention of the research community due their broad application domain. They can be applied in many fields like health care, homes, military, environment monitoring or in any commercial environment. Due to resource constrained nature of the nodes, these networks need energy efficient solutions. Since a network operation is many times more expensive than local operation, therefore very efficient and highly adaptable communication systems need to be developed for these networks in order to increase a node’s life time. To avoid resource limitation and achieve energy efficiency collaborative communication combines the power of multiple sensor nodes to transmit the same data at the same time to a base station. This research focuses on energy efficiency in Body Area Networks, sensor networks with multipath and wideband channels. All these models are investigated in the presence of Rayleigh Fading Additive White Gaussian Noise (AWGN). The received signals from collaborative nodes at the base station are considered to be out-of-phase (imperfect phase synchronization). The ultimate goal is to investigate the effect of collaborative communication on energy efficiency, channel capacity gain, received power, BER in Wireless Sensor Networks using narrow-band, multipath and wideband channels. A synchronization process is designed to reduce the phase and frequency synchronization errors among the transmitter (Collaborative) nodes and the receiver (base station). A theoretical model for unsynchronized phase using collaborative communication in the presence of Additive White Gaussian Noise (AWGN) and Rayleigh fading is proposed, analyzed and simulated. The performance of collaborative communication system is evaluated by investigating several figures of merits including “received power”, “BER”, “energy efficiency” and “channel capacity”. The theoretical findings of collaborative communication system are verified using Monte Carlo simulation by considering the parameters of “off-the-shelf” products i.e. “CC2420” and “AT86RF212”. Theoretical analysis of the derived models for received power gain, BER, energy efficiency and capacity gain show that an increase in the number of collaborative nodes also increases the gain in received power and capacity of the system whereas inversely effect BER. Simulation results for phase error intervals f?0:1 0:1g; f?0:2 0:2g; f?0:3 0:3g and f?0:4 0:4g in case of BAN show a 0:475N2 to 0:8N2 gain in received power whereas to achieve a BER of 10?3, the required transmited power decreases from 12:5dB to 10dB with an increase Anwar Ghani: 70-FBAS/PHDCS/F11 Page viii of 153 in the number of nodes from 5 to 11 over the phase error interval f?0:2 0:2g. This required power to achieve the desired BER raises 15dB to 12:5dB in case of phase error f?0:4 0:4g. In multipath communication the gain in received power improves from 0:49N2 to 0:83N2 whereas required power for BER of 10?3 in case of f?0:1 0:1g decreases from 10dB to 7:5dB and for f?0:3 0:3g the decrease is from 12dB to 9dB. In case of wideband communication the gain in received power ranges from 0:51N2 to 0:93N2 and the required power for BER of 10?3 for single node is 7:5dB and for nodes from 5 to 11 it is 3dB to 2dB. For trade-off-analysis of energy saving and transmission distances performed for off-the-shelf devices “CC2420” and “AT86RF212”, shows in all scenarios “CC2420” stabilizes before “AT86RF212”. On the basis of these results it can be concluded that collaborative communication is energy efficient and suitable for resource limited networks like WSN.ble for resource limited networks like WSN.