Pub Date : 2022-09-19DOI: 10.1142/S1793005723500394
A. Das, T. Bag
In this paper, concept of fuzzy continuous operator, fuzzy bounded linear operator are introduced in fuzzy strong $phi$-b-normed linear spaces and their relations are studied. Idea of operator fuzzy norm is developed and completeness of BF(X,Y) is established.
{"title":"Fuzzy strong φ-b-normed linear space for fuzzy bounded linear operators","authors":"A. Das, T. Bag","doi":"10.1142/S1793005723500394","DOIUrl":"https://doi.org/10.1142/S1793005723500394","url":null,"abstract":"In this paper, concept of fuzzy continuous operator, fuzzy bounded linear operator are introduced in fuzzy strong $phi$-b-normed linear spaces and their relations are studied. Idea of operator fuzzy norm is developed and completeness of BF(X,Y) is established.","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48243221","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-14DOI: 10.1142/s179300572350031x
B. Farhadinia, F. Chiclana
{"title":"Modelling Human Vagueness and Imprecision: from Fuzzy Sets to Hesitant Fuzzy Sets","authors":"B. Farhadinia, F. Chiclana","doi":"10.1142/s179300572350031x","DOIUrl":"https://doi.org/10.1142/s179300572350031x","url":null,"abstract":"","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43967614","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-14DOI: 10.1142/s1793005723500321
Kanisha Pujaru, Soovoojeet Jana, Anupam Khatua, Sayani Adak, T. K. Kar
{"title":"An economic approach to predict biomass level of Bangladesh Sundarbans region using fuzzy inference system","authors":"Kanisha Pujaru, Soovoojeet Jana, Anupam Khatua, Sayani Adak, T. K. Kar","doi":"10.1142/s1793005723500321","DOIUrl":"https://doi.org/10.1142/s1793005723500321","url":null,"abstract":"","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41610921","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-31DOI: 10.1142/s1793005723500291
P. MuraliKrishna, P. Hemavathi, A. Borumand Saeid
{"title":"Application of N- hyper Set on β-algebra","authors":"P. MuraliKrishna, P. Hemavathi, A. Borumand Saeid","doi":"10.1142/s1793005723500291","DOIUrl":"https://doi.org/10.1142/s1793005723500291","url":null,"abstract":"","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47233923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-31DOI: 10.1142/s179300572350028x
Jinta Jose, Bobin George, Rajesh K. Thumbakara
{"title":"Soft Directed Graphs, Their Vertex Degrees, Associated Matrices and Some Product Operations","authors":"Jinta Jose, Bobin George, Rajesh K. Thumbakara","doi":"10.1142/s179300572350028x","DOIUrl":"https://doi.org/10.1142/s179300572350028x","url":null,"abstract":"","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47224173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-19DOI: 10.1142/s1793005723500266
A. Das, T. Bag
{"title":"Finite dimensional fuzzy strong ϕ-b-normed linear spaces","authors":"A. Das, T. Bag","doi":"10.1142/s1793005723500266","DOIUrl":"https://doi.org/10.1142/s1793005723500266","url":null,"abstract":"","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47581441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-19DOI: 10.1142/s1793005723500254
Ariane G. Tallee Kakeu, Lutz Strungmann, B. B. Koguep Njionou, C. Lélé
{"title":"α-Ideals in Bounded Commutative Residuated Lattices","authors":"Ariane G. Tallee Kakeu, Lutz Strungmann, B. B. Koguep Njionou, C. Lélé","doi":"10.1142/s1793005723500254","DOIUrl":"https://doi.org/10.1142/s1793005723500254","url":null,"abstract":"","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46905175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-11DOI: 10.1142/s1793005723500230
M. Ghorani, H. Vogler
{"title":"A theorem on supports of weighted tree automata over strong bimonoids","authors":"M. Ghorani, H. Vogler","doi":"10.1142/s1793005723500230","DOIUrl":"https://doi.org/10.1142/s1793005723500230","url":null,"abstract":"","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84979508","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.1142/s1793005723500072
P. Dutta, G. Borah
This paper’s core objective is to introduce a novel notion called hyperbolic fuzzy set (HFS) where, the grades follow the stipulation that the product of optimistic and pessimistic degree must be less than or equal to one (1), rather than their sum not exceeding one (1) as in case of IFSs. The concept of HFS originates from a hyperbola, which provides extreme flexibility to the decision makers in the representation of vague and imprecise information. It is observed that IFSs, Pythagorean fuzzy sets (PFSs), and q-rung orthopair fuzzy sets (Q-ROFSs) often failed to express the uncertain information properly under some specific situations, while HFS tends to overcome such limitations by being applicable under those perplexed situations too. In this paper, we first define some basic operational laws and few desirable properties of HFSs. Second, we define a novel score function, accuracy function, and also establish some of their properties. Third, a novel similarity and distance measure is proposed for HFSs that are capable of distinguishing between different physical objects or alternatives based on the grounds of “similitude degree” and “farness coefficient”, respectively. Later, the advantages of all of these newly defined measures have been showcased by performing a meticulous comparative analysis. Finally, these measures have been successfully applied in various COVID-19 associated problems such as medical decision-making, antivirus face-mask selection, efficient sanitizer selections, and effective medicine selection for COVID-19. The final results obtained with our newly defined measures comply with several other existing methods that we considered and the decision strategy adopted is simple, logical, and efficient. The significant findings of this study are certain to aid the healthcare department and other frontline workers to take necessary measures to reduce the intensity of the coronavirus transmission, so that we can hopefully progress toward the end of this ruthless pandemic. [ FROM AUTHOR] Copyright of New Mathematics & Natural Computation is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full . (Copyright applies to all s.)
{"title":"Construction of Hyperbolic Fuzzy Set and its applications in diverse COVID-19 associated problems","authors":"P. Dutta, G. Borah","doi":"10.1142/s1793005723500072","DOIUrl":"https://doi.org/10.1142/s1793005723500072","url":null,"abstract":"This paper’s core objective is to introduce a novel notion called hyperbolic fuzzy set (HFS) where, the grades follow the stipulation that the product of optimistic and pessimistic degree must be less than or equal to one (1), rather than their sum not exceeding one (1) as in case of IFSs. The concept of HFS originates from a hyperbola, which provides extreme flexibility to the decision makers in the representation of vague and imprecise information. It is observed that IFSs, Pythagorean fuzzy sets (PFSs), and q-rung orthopair fuzzy sets (Q-ROFSs) often failed to express the uncertain information properly under some specific situations, while HFS tends to overcome such limitations by being applicable under those perplexed situations too. In this paper, we first define some basic operational laws and few desirable properties of HFSs. Second, we define a novel score function, accuracy function, and also establish some of their properties. Third, a novel similarity and distance measure is proposed for HFSs that are capable of distinguishing between different physical objects or alternatives based on the grounds of “similitude degree” and “farness coefficient”, respectively. Later, the advantages of all of these newly defined measures have been showcased by performing a meticulous comparative analysis. Finally, these measures have been successfully applied in various COVID-19 associated problems such as medical decision-making, antivirus face-mask selection, efficient sanitizer selections, and effective medicine selection for COVID-19. The final results obtained with our newly defined measures comply with several other existing methods that we considered and the decision strategy adopted is simple, logical, and efficient. The significant findings of this study are certain to aid the healthcare department and other frontline workers to take necessary measures to reduce the intensity of the coronavirus transmission, so that we can hopefully progress toward the end of this ruthless pandemic. [ FROM AUTHOR] Copyright of New Mathematics & Natural Computation is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full . (Copyright applies to all s.)","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41921613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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